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122120230102032 = 24353439186158757
BaseRepresentation
bin11011110001000101010100…
…111011110110010000010000
3121000101120122210202220001110
4123301011110323312100100
5112001304212401231112
61111421131554133320
734502616100534101
oct3361052473662020
9530346583686043
10122120230102032
1135a02998252188
1211843875b81240
13531ab71741c46
1422229176423a8
15e1b9628dc13c
hex6f1154ef6410

122120230102032 has 160 divisors (see below), whose sum is σ = 322340446391040. Its totient is φ = 39825625282560.

The previous prime is 122120230101931. The next prime is 122120230102037. The reversal of 122120230102032 is 230201032021221.

It is not an unprimeable number, because it can be changed into a prime (122120230102037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2078365198 + ... + 2078423954.

It is an arithmetic number, because the mean of its divisors is an integer number (2014627789944).

Almost surely, 2122120230102032 is an apocalyptic number.

122120230102032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122120230102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161170223195520).

122120230102032 is an abundant number, since it is smaller than the sum of its proper divisors (200220216289008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122120230102032 is a wasteful number, since it uses less digits than its factorization.

122120230102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61121 (or 61115 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 122120230102032 its reverse (230201032021221), we get a palindrome (352321262123253).

The spelling of 122120230102032 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred thirty million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 439 636 848 878 1272 1317 1756 1861 2544 2634 3512 3722 5268 5583 7024 7444 10536 11166 14888 21072 22332 23267 29776 44664 46534 58757 69801 89328 93068 98633 117514 139602 176271 186136 197266 235028 279204 295899 352542 372272 394532 470056 558408 591798 705084 789064 816979 940112 1116816 1183596 1410168 1578128 1633958 2367192 2450937 2820336 3114121 3267916 4734384 4901874 6228242 6535832 9342363 9803748 12456484 13071664 18684726 19607496 24912968 25794323 37369452 39214992 43299887 49825936 51588646 74738904 77382969 86599774 103177292 109346777 129899661 149477808 154765938 173199548 206354584 218693554 259799322 309531876 328040331 346399096 412709168 437387108 519598644 619063752 656080662 692798192 874774216 1039197288 1238127504 1312161324 1367099119 1749548432 2078394576 2624322648 2734198238 4101297357 5248645296 5468396476 5795379181 8202594714 10936792952 11590758362 16405189428 17386137543 21873585904 23181516724 32810378856 34772275086 46363033448 48003235103 65620757712 69544550172 92726066896 96006470206 139089100344 144009705309 192012940412 278178200688 288019410618 384025880824 576038821236 768051761648 1152077642472 2304155284944 2544171460459 5088342920918 7632514381377 10176685841836 15265028762754 20353371683672 30530057525508 40706743367344 61060115051016 122120230102032