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122112100022040 = 23325339200277839
BaseRepresentation
bin11011110000111101110000…
…010110000011011100011000
3121000100210200012121000221200
4123300331300112003130120
5112001141040101201130
61111413305130234200
734502210450151012
oct3360756026033430
9530323605530850
10122112100022040
11359aa4a6008807
1211842187285960
13531a177285b1b
1422223859971b2
15e1b638c99760
hex6f0f70583718

122112100022040 has 48 divisors (see below), whose sum is σ = 396864325072800. Its totient is φ = 32563226672448.

The previous prime is 122112100022039. The next prime is 122112100022089. The reversal of 122112100022040 is 40220001211221.

It is a super-2 number, since 2×1221121000220402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169600138560 + ... + 169600139279.

It is an arithmetic number, because the mean of its divisors is an integer number (8268006772350).

Almost surely, 2122112100022040 is an apocalyptic number.

122112100022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112100022040 is an abundant number, since it is smaller than the sum of its proper divisors (274752225050760).

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

122112100022040 is a wasteful number, since it uses less digits than its factorization.

122112100022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339200277856 (or 339200277849 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 122112100022040 its reverse (40220001211221), we get a palindrome (162332101233261).

The spelling of 122112100022040 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred million, twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 339200277839 678400555678 1017600833517 1356801111356 1696001389195 2035201667034 2713602222712 3052802500551 3392002778390 4070403334068 5088004167585 6105605001102 6784005556780 8140806668136 10176008335170 12211210002204 13568011113560 15264012502755 20352016670340 24422420004408 30528025005510 40704033340680 61056050011020 122112100022040