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12190588921 = 72157732
BaseRepresentation
bin10110101101001110…
…11001111111111001
31011110120202002012101
423112213121333321
5144431242321141
65333354343401
7611044203400
oct132647317771
934416662171
1012190588921
1151962a6985
12244272ab61
1311c37a5334
14839070637
154b536b531
hex2d69d9ff9

12190588921 has 9 divisors (see below), whose sum is σ = 14181788271. Its totient is φ = 10448413752.

The previous prime is 12190588897. The next prime is 12190588931. The reversal of 12190588921 is 12988509121.

It is a happy number.

The square root of 12190588921 is 110411.

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., 7144475625 + 5046113296 = 84525^2 + 71036^2 .

It is not a de Polignac number, because 12190588921 - 233 = 3600654329 is a prime.

It is a super-2 number, since 2×121905889212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12190588931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 764991 + ... + 780763.

Almost surely, 212190588921 is an apocalyptic number.

12190588921 is the 110411-st square number.

12190588921 is the 55206-th centered octagonal number.

It is an amenable number.

12190588921 is a deficient number, since it is larger than the sum of its proper divisors (1991199350).

12190588921 is an frugal number, since it uses more digits than its factorization.

12190588921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31560 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 12190588921 in words is "twelve billion, one hundred ninety million, five hundred eighty-eight thousand, nine hundred twenty-one".

Divisors: 1 7 49 15773 110411 772877 248787529 1741512703 12190588921