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122112111212031 = 3197837205745321
BaseRepresentation
bin11011110000111101110001…
…000000101111010111111111
3121000100210200222122112201210
4123300331301000233113333
5112001141100432241111
61111413310210135503
734502210644234623
oct3360756100572777
9530323628575653
10122112111212031
11359aa501360a36
121184218ab81593
13531a1796a3215
14222238726b183
15e1b639c5a0a6
hex6f0f7102f5ff

122112111212031 has 8 divisors (see below), whose sum is σ = 162816972055344. Its totient is φ = 81407662255040.

The previous prime is 122112111212027. The next prime is 122112111212041. The reversal of 122112111212031 is 130212111211221.

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

It is a cyclic number.

It is not a de Polignac number, because 122112111212031 - 22 = 122112111212027 is a prime.

It is a super-2 number, since 2×1221121112120312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112111211989 and 122112111212007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112111212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102279150 + ... + 103466171.

It is an arithmetic number, because the mean of its divisors is an integer number (20352121506918).

Almost surely, 2122112111212031 is an apocalyptic number.

122112111212031 is a deficient number, since it is larger than the sum of its proper divisors (40704860843313).

122112111212031 is a wasteful number, since it uses less digits than its factorization.

122112111212031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205943161.

The product of its (nonzero) digits is 96, while the sum is 21.

Adding to 122112111212031 its reverse (130212111211221), we get a palindrome (252324222423252).

The spelling of 122112111212031 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred eleven million, two hundred twelve thousand, thirty-one".

Divisors: 1 3 197837 593511 205745321 617235963 40704037070677 122112111212031