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12930340800 = 2635213436179
BaseRepresentation
bin11000000101011010…
…10101011111000000
31020101010201101000010
430002231111133000
5202440131401200
65535022024520
7635266040406
oct140255253700
936333641003
1012930340800
115535927473
12260a418140
1312b0b22340
148a93d5476
1550a292150
hex302b557c0

12930340800 has 672 divisors, whose sum is σ = 48115809280. Its totient is φ = 3019161600.

The previous prime is 12930340781. The next prime is 12930340817. The reversal of 12930340800 is 804303921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163675161 + ... + 163675239.

Almost surely, 212930340800 is an apocalyptic number.

12930340800 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 12930340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24057904640).

12930340800 is an abundant number, since it is smaller than the sum of its proper divisors (35185468480).

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

12930340800 is a wasteful number, since it uses less digits than its factorization.

12930340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 12930340800 in words is "twelve billion, nine hundred thirty million, three hundred forty thousand, eight hundred".