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12479124100 = 2252111712
BaseRepresentation
bin10111001111101000…
…00101001010000100
31012012200200012001111
423213310011022010
5201024123432400
65422142534404
7621146543002
oct134764051204
935180605044
1012479124100
11532415a703
122503297404
13123b4ba901
148654dba72
154d08633ba
hex2e7d05284

12479124100 has 27 divisors (see below), whose sum is σ = 27082123621. Its totient is φ = 4991202800.

The previous prime is 12479124079. The next prime is 12479124101. The reversal of 12479124100 is 142197421.

The square root of 12479124100 is 111710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4492484676 + 7986639424 = 67026^2 + 89368^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12479124101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1111515 + ... + 1122685.

Almost surely, 212479124100 is an apocalyptic number.

12479124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12479124100 is the 111710-th square number.

It is an amenable number.

12479124100 is an abundant number, since it is smaller than the sum of its proper divisors (14602999521).

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

12479124100 is an frugal number, since it uses more digits than its factorization.

12479124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22356 (or 11178 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 12479124100 in words is "twelve billion, four hundred seventy-nine million, one hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11171 22342 44684 55855 111710 223420 279275 558550 1117100 124791241 249582482 499164964 623956205 1247912410 2495824820 3119781025 6239562050 12479124100