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12412812120 = 2335103440101
BaseRepresentation
bin10111000111101110…
…00111101101011000
31012001001220012010020
423203313013231120
5200410134441440
65411413350440
7616413106422
oct134367075530
935031805106
1012412812120
11529a788515
1224a5038420
13122a840957
1485a799812
154c9b153d0
hex2e3dc7b58

12412812120 has 32 divisors (see below), whose sum is σ = 37238436720. Its totient is φ = 3310083200.

The previous prime is 12412812091. The next prime is 12412812131. The reversal of 12412812120 is 2121821421.

It is a happy number.

It is a hoax number, since the sum of its digits (24) 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 (24).

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, 51719931 + ... + 51720170.

Almost surely, 212412812120 is an apocalyptic number.

12412812120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12412812120 is an abundant number, since it is smaller than the sum of its proper divisors (24825624600).

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

12412812120 is a wasteful number, since it uses less digits than its factorization.

12412812120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103440115 (or 103440111 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The spelling of 12412812120 in words is "twelve billion, four hundred twelve million, eight hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 103440101 206880202 310320303 413760404 517200505 620640606 827520808 1034401010 1241281212 1551601515 2068802020 2482562424 3103203030 4137604040 6206406060 12412812120