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12978032000 = 2753811127
BaseRepresentation
bin11000001011000110…
…10000110110000000
31020111110110100000212
430011203100312000
5203034334011000
65543444133252
7636415310663
oct140543206600
936443410025
1012978032000
11555a84058a
122622397228
1312ba97c89b
148b188b6da
1550e562c35
hex3058d0d80

12978032000 has 64 divisors (see below), whose sum is σ = 32266671840. Its totient is φ = 5191206400.

The previous prime is 12978031961. The next prime is 12978032017. The reversal of 12978032000 is 23087921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389564 + ... + 421563.

Almost surely, 212978032000 is an apocalyptic number.

12978032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12978032000 is an abundant number, since it is smaller than the sum of its proper divisors (19288639840).

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

12978032000 is an frugal number, since it uses more digits than its factorization.

12978032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811156 (or 811134 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 12978032000 in words is "twelve billion, nine hundred seventy-eight million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 811127 1622254 3244508 4055635 6489016 8111270 12978032 16222540 20278175 25956064 32445080 40556350 51912128 64890160 81112700 101390875 103824256 129780320 162225400 202781750 259560640 324450800 405563500 519121280 648901600 811127000 1297803200 1622254000 2595606400 3244508000 6489016000 12978032000