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12123620244 = 223417193137101
BaseRepresentation
bin10110100101001111…
…11100001110010100
31011021220201201110000
423102213330032110
5144312121321434
65323003131300
7606302033421
oct132247741624
934256651400
1012123620244
11516151636a
122424213b30
1311b29584b8
148301dad48
154ae53db99
hex2d29fc394

12123620244 has 480 divisors, whose sum is σ = 37819837440. Its totient is φ = 3359232000.

The previous prime is 12123620239. The next prime is 12123620273. The reversal of 12123620244 is 44202632121.

12123620244 is a `hidden beast` number, since 1 + 2 + 12 + 3 + 620 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120035794 + ... + 120035894.

It is an arithmetic number, because the mean of its divisors is an integer number (78791328).

Almost surely, 212123620244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12123620244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18909918720).

12123620244 is an abundant number, since it is smaller than the sum of its proper divisors (25696217196).

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

12123620244 is a wasteful number, since it uses less digits than its factorization.

12123620244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 12123620244 in words is "twelve billion, one hundred twenty-three million, six hundred twenty thousand, two hundred forty-four".