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122121031012031 = 1018923135505897
BaseRepresentation
bin11011110001000110000100…
…101011000100111010111111
3121000101122201121211100000202
4123301012010223010322333
5112001312332414341111
61111421343244314115
734502644664260502
oct3361060453047277
9530348647740022
10122121031012031
1135a03269354777
1211843a5a24293b
13531ac6b65309c
142222991b67139
15e1b9acd93b3b
hex6f1184ac4ebf

122121031012031 has 8 divisors (see below), whose sum is σ = 123343972642704. Its totient is φ = 120898360411200.

The previous prime is 122121031011971. The next prime is 122121031012033. The reversal of 122121031012031 is 130210130121221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122121031012031 is a prime.

It is a super-2 number, since 2×1221210310120312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122121031011994 and 122121031012012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122121031012033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66851726 + ... + 68654171.

It is an arithmetic number, because the mean of its divisors is an integer number (15417996580338).

Almost surely, 2122121031012031 is an apocalyptic number.

122121031012031 is a deficient number, since it is larger than the sum of its proper divisors (1222941630673).

122121031012031 is a wasteful number, since it uses less digits than its factorization.

122121031012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135514921.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 122121031012031 its reverse (130210130121221), we get a palindrome (252331161133252).

The spelling of 122121031012031 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, thirty-one million, twelve thousand, thirty-one".

Divisors: 1 101 8923 901223 135505897 13686095597 1209119118931 122121031012031