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122020012211331 = 31310657293583397
BaseRepresentation
bin11011101111100111111111…
…011110111011110010000011
3121000000222222110010112221210
4123233213333132323302003
5111443133441111230311
61111303115245021203
734462440436525533
oct3357477736736203
9530028873115853
10122020012211331
113597443a924623
1211828367254803
13531158ca52bc0
14221bb2b6a34c3
15e190494b23a6
hex6ef9ff7bbc83

122020012211331 has 16 divisors (see below), whose sum is σ = 175224663929504. Its totient is φ = 75082192026624.

The previous prime is 122020012211309. The next prime is 122020012211351. The reversal of 122020012211331 is 133112210020221.

It is not a de Polignac number, because 122020012211331 - 210 = 122020012210307 is a prime.

It is a super-2 number, since 2×1220200122113312 (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 = 122020012211298 and 122020012211307.

It is not an unprimeable number, because it can be changed into a prime (122020012211351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146376076 + ... + 147207321.

It is an arithmetic number, because the mean of its divisors is an integer number (10951541495594).

Almost surely, 2122020012211331 is an apocalyptic number.

122020012211331 is a deficient number, since it is larger than the sum of its proper divisors (53204651718173).

122020012211331 is a wasteful number, since it uses less digits than its factorization.

122020012211331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293594070.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122020012211331 its reverse (133112210020221), we get a palindrome (255132222231552).

The spelling of 122020012211331 in words is "one hundred twenty-two trillion, twenty billion, twelve million, two hundred eleven thousand, three hundred thirty-one".

Divisors: 1 3 13 39 10657 31971 138541 415623 293583397 880750191 3816584161 11449752483 3128718261829 9386154785487 40673337403777 122020012211331