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122112221110110 = 23457116731679227
BaseRepresentation
bin11011110000111101110111…
…100011111101111101011110
3121000100210222122102221120000
4123300331313203331331132
5112001141312101010420
61111413325133435130
734502213450323320
oct3360756743757536
9530323878387500
10122112221110110
11359aa5583a2aa0
12118421bb93baa6
13531a1963a107a
142222397ab7610
15e1b644717690
hex6f0f778fdf5e

122112221110110 has 640 divisors, whose sum is σ = 415652866523136. Its totient is φ = 24984651605760.

The previous prime is 122112221110049. The next prime is 122112221110163. The reversal of 122112221110110 is 11011122211221.

It is a happy number.

122112221110110 is a `hidden beast` number, since 1 + 221 + 1 + 2 + 221 + 110 + 110 = 666.

It is a super-2 number, since 2×1221122211101102 (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 polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13234223317 + ... + 13234232543.

Almost surely, 2122112221110110 is an apocalyptic number.

122112221110110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122112221110110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207826433261568).

122112221110110 is an abundant number, since it is smaller than the sum of its proper divisors (293540645413026).

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

122112221110110 is a wasteful number, since it uses less digits than its factorization.

122112221110110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12498 (or 12489 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122112221110110 its reverse (11011122211221), we get a palindrome (133123343321331).

The spelling of 122112221110110 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred twenty-one million, one hundred ten thousand, one hundred ten".