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12704030820 = 223351321071301
BaseRepresentation
bin10111101010011100…
…00010000001100100
31012210100212122002000
423311032002001210
5202004212441240
65500335245300
7626550323505
oct136516020144
935710778060
1012704030820
11542a104428
122566679830
131275c85800
14887324bac
154e548c430
hex2f5382064

12704030820 has 288 divisors, whose sum is σ = 43230983040. Its totient is φ = 3095539200.

The previous prime is 12704030813. The next prime is 12704030839. The reversal of 12704030820 is 2803040721.

It is a super-2 number, since 2×127040308202 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9764170 + ... + 9765470.

It is an arithmetic number, because the mean of its divisors is an integer number (150107580).

Almost surely, 212704030820 is an apocalyptic number.

12704030820 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 12704030820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21615491520).

12704030820 is an abundant number, since it is smaller than the sum of its proper divisors (30526952220).

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

12704030820 is a wasteful number, since it uses less digits than its factorization.

12704030820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Subtracting from 12704030820 its reverse (2803040721), we obtain a palindrome (9900990099).

The spelling of 12704030820 in words is "twelve billion, seven hundred four million, thirty thousand, eight hundred twenty".