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12465722500 = 225472112292
BaseRepresentation
bin10111001110000001…
…11101010010000100
31012011202110022111221
423213000331102010
5201012211110000
65420543410124
7620624615200
oct134700752204
935152408457
1012465722500
115317636900
1224ba8b3944
1312387a797a
1486380db00
154ce5b761a
hex2e703d484

12465722500 has 405 divisors, whose sum is σ = 36098879817. Its totient is φ = 3751440000.

The previous prime is 12465722461. The next prime is 12465722501. The reversal of 12465722500 is 522756421.

The square root of 12465722500 is 111650.

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

It can be written as a sum of positive squares in 7 ways, for example, as 9323447364 + 3142275136 = 96558^2 + 56056^2 .

It is not an unprimeable number, because it can be changed into a prime (12465722501) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 429852486 + ... + 429852514.

Almost surely, 212465722500 is an apocalyptic number.

12465722500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12465722500 is the 111650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12465722500

12465722500 is an abundant number, since it is smaller than the sum of its proper divisors (23633157317).

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

12465722500 is a wasteful number, since it uses less digits than its factorization.

12465722500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The spelling of 12465722500 in words is "twelve billion, four hundred sixty-five million, seven hundred twenty-two thousand, five hundred".