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122011110000021 = 31119918579428963
BaseRepresentation
bin11011101111011111101100…
…110111101100010110010101
3121000000011000001001100210210
4123233133230313230112111
5111443012223130000041
61111255044035440033
734462004022136644
oct3357375467542625
9530004001040723
10122011110000021
11359706918544a0
12118266a1a56019
1353107a1620a48
14221b52526535b
15e18bc7ba0016
hex6ef7ecdec595

122011110000021 has 16 divisors (see below), whose sum is σ = 178362518054400. Its totient is φ = 73574538689520.

The previous prime is 122011110000019. The next prime is 122011110000029. The reversal of 122011110000021 is 120000011110221.

It is not a de Polignac number, because 122011110000021 - 21 = 122011110000019 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122011109999961 and 122011110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011110000029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9289707915 + ... + 9289721048.

It is an arithmetic number, because the mean of its divisors is an integer number (11147657378400).

Almost surely, 2122011110000021 is an apocalyptic number.

122011110000021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011110000021 is a deficient number, since it is larger than the sum of its proper divisors (56351408054379).

122011110000021 is a wasteful number, since it uses less digits than its factorization.

122011110000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18579429176.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 122011110000021 its reverse (120000011110221), we get a palindrome (242011121110242).

The spelling of 122011110000021 in words is "one hundred twenty-two trillion, eleven billion, one hundred ten million, twenty-one", and thus it is an aban number.

Divisors: 1 3 11 33 199 597 2189 6567 18579428963 55738286889 204373718593 613121155779 3697306363637 11091919090911 40670370000007 122011110000021