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122132231000 = 23531323408469
BaseRepresentation
bin111000110111110100…
…1011111001101011000
3102200020121100011112222
41301233221133031120
54000111322343000
6132035021323212
711552356556213
oct1615751371530
9380217304488
10122132231000
11478835078aa
121b805a06508
13b694b7b810
145ca85c277a
15329c287a85
hex1c6fa5f358

122132231000 has 128 divisors (see below), whose sum is σ = 321155452800. Its totient is φ = 43134220800.

The previous prime is 122132230993. The next prime is 122132231003. The reversal of 122132231000 is 132231221.

122132231000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221322310002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122132231000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122132231003) 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, 94766 + ... + 503234.

It is an arithmetic number, because the mean of its divisors is an integer number (2509026975).

Almost surely, 2122132231000 is an apocalyptic number.

122132231000 is a gapful number since it is divisible by the number (10) 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 122132231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160577726400).

122132231000 is an abundant number, since it is smaller than the sum of its proper divisors (199023221800).

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

122132231000 is a wasteful number, since it uses less digits than its factorization.

122132231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408526 (or 408512 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 122132231000 its reverse (132231221), we get a palindrome (122264462221).

The spelling of 122132231000 in words is "one hundred twenty-two billion, one hundred thirty-two million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 13 20 23 25 26 40 46 50 52 65 92 100 104 115 125 130 184 200 230 250 260 299 325 460 500 520 575 598 650 920 1000 1150 1196 1300 1495 1625 2300 2392 2600 2875 2990 3250 4600 5750 5980 6500 7475 11500 11960 13000 14950 23000 29900 37375 59800 74750 149500 299000 408469 816938 1633876 2042345 3267752 4084690 5310097 8169380 9394787 10211725 10620194 16338760 18789574 20423450 21240388 26550485 37579148 40846900 42480776 46973935 51058625 53100970 75158296 81693800 93947870 102117250 106201940 122132231 132752425 187895740 204234500 212403880 234869675 244264462 265504850 375791480 408469000 469739350 488528924 531009700 610661155 663762125 939478700 977057848 1062019400 1174348375 1221322310 1327524250 1878957400 2348696750 2442644620 2655048500 3053305775 4697393500 4885289240 5310097000 6106611550 9394787000 12213223100 15266528875 24426446200 30533057750 61066115500 122132231000