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122949304920 = 2333513351817
BaseRepresentation
bin111001010000001011…
…0011000001001011000
3102202100112210211021000
41302200112120021120
54003300010224140
6132252050145000
711611540564011
oct1624026301130
9382315724230
10122949304920
114816274a602
121b9b3582160
13b79522c000
145d44d14008
1532e8d83a30
hex1ca0598258

122949304920 has 256 divisors, whose sum is σ = 443976624000. Its totient is φ = 30263860224.

The previous prime is 122949304913. The next prime is 122949304937. The reversal of 122949304920 is 29403949221.

122949304920 is a `hidden beast` number, since 122 + 9 + 4 + 9 + 30 + 492 + 0 = 666.

It is a super-2 number, since 2×1229493049202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2346852 + ... + 2398668.

Almost surely, 2122949304920 is an apocalyptic number.

122949304920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122949304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221988312000).

122949304920 is an abundant number, since it is smaller than the sum of its proper divisors (321027319080).

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

122949304920 is a wasteful number, since it uses less digits than its factorization.

122949304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51876 (or 51840 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 122949304920 in words is "one hundred twenty-two billion, nine hundred forty-nine million, three hundred four thousand, nine hundred twenty".