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122100011011992 = 233138339171203731
BaseRepresentation
bin11011110000110010011111…
…110010001000111110011000
3121000022122110200222200202210
4123300302133302020332120
5112000441310304340432
61111403545400555120
734501302045233526
oct3360623762107630
9530278420880683
10122100011011992
11359a5362091612
121183b972782aa0
135318c9b857b40
14222195a209316
15e1b17c7e58cc
hex6f0c9fc88f98

122100011011992 has 128 divisors (see below), whose sum is σ = 332776622626560. Its totient is φ = 37107086184960.

The previous prime is 122100011011949. The next prime is 122100011012009. The reversal of 122100011011992 is 299110110001221.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100832767 + ... + 102036497.

It is an arithmetic number, because the mean of its divisors is an integer number (2599817364270).

Almost surely, 2122100011011992 is an apocalyptic number.

122100011011992 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 122100011011992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166388311313280).

122100011011992 is an abundant number, since it is smaller than the sum of its proper divisors (210676611614568).

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

122100011011992 is a wasteful number, since it uses less digits than its factorization.

122100011011992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207753 (or 1207749 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 30.

The spelling of 122100011011992 in words is "one hundred twenty-two trillion, one hundred billion, eleven million, eleven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 83 104 156 166 249 312 332 498 664 996 1079 1992 2158 3237 3917 4316 6474 7834 8632 11751 12948 15668 23502 25896 31336 47004 50921 94008 101842 152763 203684 305526 325111 407368 611052 650222 975333 1203731 1222104 1300444 1950666 2407462 2600888 3611193 3901332 4226443 4814924 7222386 7802664 8452886 9629848 12679329 14444772 15648503 16905772 25358658 28889544 31297006 33811544 46945509 50717316 62594012 93891018 99909673 101434632 125188024 187782036 199819346 299729019 375564072 399638692 599458038 799277384 1198916076 1298825749 2397832152 2597651498 3896477247 4715014327 5195302996 7792954494 9430028654 10390605992 14145042981 15585908988 18860057308 28290085962 31171817976 37720114616 56580171924 61295186251 113160343848 122590372502 183885558753 245180745004 367771117506 391346189141 490361490008 735542235012 782692378282 1174038567423 1471084470024 1565384756564 2348077134846 3130769513128 4696154269692 5087500458833 9392308539384 10175000917666 15262501376499 20350001835332 30525002752998 40700003670664 61050005505996 122100011011992