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122355141132 = 223747914272131
BaseRepresentation
bin111000111110011101…
…1110100101000001100
3102200211010210011202210
41301330323310220030
54001040404004012
6132113103150420
711561034353040
oct1617473645014
9380733704683
10122355141132
1147988318554
121b8685a5410
13b6cc0c79c3
145cca04a020
1532b1b1a23c
hex1c7cef4a0c

122355141132 has 96 divisors (see below), whose sum is σ = 327344209920. Its totient is φ = 34844823360.

The previous prime is 122355141127. The next prime is 122355141193. The reversal of 122355141132 is 231141553221.

It is a happy number.

It is a super-2 number, since 2×1223551411322 (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 122355141132.

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, 57415707 + ... + 57417837.

It is an arithmetic number, because the mean of its divisors is an integer number (3409835520).

Almost surely, 2122355141132 is an apocalyptic number.

122355141132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122355141132 is an abundant number, since it is smaller than the sum of its proper divisors (204989068788).

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

122355141132 is a wasteful number, since it uses less digits than its factorization.

122355141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4049 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

Adding to 122355141132 its reverse (231141553221), we get a palindrome (353496694353).

The spelling of 122355141132 in words is "one hundred twenty-two billion, three hundred fifty-five million, one hundred forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 479 958 1427 1437 1916 2131 2854 2874 3353 4262 4281 5708 5748 6393 6706 8524 8562 9989 10059 12786 13412 14917 17124 19978 20118 25572 29834 29967 39956 40236 44751 59668 59934 89502 119868 179004 683533 1020749 1367066 2041498 2050599 2734132 3040937 3062247 4082996 4101198 4784731 6081874 6124494 7145243 8202396 9122811 9569462 12163748 12248988 14290486 14354193 18245622 19138924 21286559 21435729 28580972 28708386 36491244 42573118 42871458 57416772 63859677 85146236 85742916 127719354 255438708 1456608823 2913217646 4369826469 5826435292 8739652938 10196261761 17479305876 20392523522 30588785283 40785047044 61177570566 122355141132