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122111220231012 = 223196739563202049
BaseRepresentation
bin11011110000111100111011…
…111001111010101101100100
3121000100201101220010000112210
4123300330323321322231210
5112001132234334343022
61111413041541243420
734502146605101415
oct3360747371725544
9530321356100483
10122111220231012
11359aa094429791
1211841b80703570
13531a066c16a0c
142222300bbb80c
15e1b5d6910a0c
hex6f0f3be7ab64

122111220231012 has 96 divisors (see below), whose sum is σ = 304407948096000. Its totient is φ = 37984745981952.

The previous prime is 122111220230963. The next prime is 122111220231023. The reversal of 122111220231012 is 210132022111221.

It is a super-2 number, since 2×1221112202310122 (a number of 29 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 122111220231012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604263364 + ... + 604465412.

It is an arithmetic number, because the mean of its divisors is an integer number (3170916126000).

Almost surely, 2122111220231012 is an apocalyptic number.

122111220231012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122111220231012 is an abundant number, since it is smaller than the sum of its proper divisors (182296727864988).

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

122111220231012 is a wasteful number, since it uses less digits than its factorization.

122111220231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241705 (or 241703 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 122111220231012 its reverse (210132022111221), we get a palindrome (332243242342233).

The spelling of 122111220231012 in words is "one hundred twenty-two trillion, one hundred eleven billion, two hundred twenty million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 67 76 114 134 201 228 268 402 804 1273 2546 3819 5092 7638 15276 39563 79126 118689 158252 202049 237378 404098 474756 606147 751697 808196 1212294 1503394 2255091 2424588 2650721 3006788 3838931 4510182 5301442 7677862 7952163 9020364 10602884 11516793 13537283 15355724 15904326 23033586 27074566 31808652 40611849 46067172 50363699 54149132 81223698 100727398 151091097 162447396 201454796 257208377 302182194 514416754 604364388 771625131 1028833508 1543250262 3086500524 7993664587 15987329174 23980993761 31974658348 47961987522 95923975044 151879627153 303759254306 455638881459 535575527329 607518508612 911277762918 1071151054658 1606726581987 1822555525836 2142302109316 3213453163974 6426906327948 10175935019251 20351870038502 30527805057753 40703740077004 61055610115506 122111220231012