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12907203840 = 283258313499
BaseRepresentation
bin11000000010101010…
…00100110100000000
31020022112011220001200
430001111010310000
5202413221010330
65532434101200
7634565264616
oct140125046400
936275156050
1012907203840
115523864313
12260271a800
1312a90b112b
148a62d16b6
15508221a60
hex301544d00

12907203840 has 216 divisors, whose sum is σ = 45198972000. Its totient is φ = 3400200192.

The previous prime is 12907203817. The next prime is 12907203863. The reversal of 12907203840 is 4830270921.

It is an interprime number because it is at equal distance from previous prime (12907203817) and next prime (12907203863).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12907203795 and 12907203804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 949411 + ... + 962909.

It is an arithmetic number, because the mean of its divisors is an integer number (209254500).

Almost surely, 212907203840 is an apocalyptic number.

12907203840 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 12907203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22599486000).

12907203840 is an abundant number, since it is smaller than the sum of its proper divisors (32291768160).

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

12907203840 is a wasteful number, since it uses less digits than its factorization.

12907203840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13609 (or 13592 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 12907203840 in words is "twelve billion, nine hundred seven million, two hundred three thousand, eight hundred forty".