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12390405300 = 223352713211239
BaseRepresentation
bin10111000101000011…
…01001010010110100
31011222111201210202000
423202201221102310
5200333420432200
65405253215300
7616021464420
oct134241512264
934874653660
1012390405300
115289073989
122499631530
131225cc6b90
14857805b80
154c7b8b300
hex2e28694b4

12390405300 has 576 divisors, whose sum is σ = 49463500800. Its totient is φ = 2590963200.

The previous prime is 12390405299. The next prime is 12390405317. The reversal of 12390405300 is 350409321.

12390405300 is a `hidden beast` number, since 1 + 2 + 3 + 90 + 40 + 530 + 0 = 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 191 ways as a sum of consecutive naturals, for example, 51842581 + ... + 51842819.

Almost surely, 212390405300 is an apocalyptic number.

12390405300 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 12390405300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24731750400).

12390405300 is an abundant number, since it is smaller than the sum of its proper divisors (37073095500).

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

12390405300 is a wasteful number, since it uses less digits than its factorization.

12390405300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 12390405300 in words is "twelve billion, three hundred ninety million, four hundred five thousand, three hundred".