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12297723389721 = 3272112172192472
BaseRepresentation
bin1011001011110100100101…
…1011110010011100011001
31121112122120111011100100100
42302331021123302130121
53102441214141432341
642053255055330013
72406324023041200
oct262751133623431
947478514140310
1012297723389721
113a11487286100
12146746a820909
136b2893975603
143072da620237
15164d5a7cd3b6
hexb2f496f2719

12297723389721 has 729 divisors, whose sum is σ = 26017451831007. Its totient is φ = 5574987855360.

The previous prime is 12297723389671. The next prime is 12297723389723. The reversal of 12297723389721 is 12798332779221.

It is a happy number.

The square root of 12297723389721 is 3506811.

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

12297723389721 is a `hidden beast` number, since 1 + 2 + 297 + 7 + 2 + 338 + 9 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9574352120025 + 2723371269696 = 3094245^2 + 1650264^2 .

It is not a de Polignac number, because 12297723389721 - 235 = 12263363651353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12297723389723) by changing a digit.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 261653689120 + ... + 261653689166.

Almost surely, 212297723389721 is an apocalyptic number.

12297723389721 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12297723389721 is the 3506811-st square number.

12297723389721 is the 1753406-th centered octagonal number.

It is an amenable number.

12297723389721 is an abundant number, since it is smaller than the sum of its proper divisors (13719728441286).

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

12297723389721 is a wasteful number, since it uses less digits than its factorization.

12297723389721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 104 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 12297723389721 in words is "twelve trillion, two hundred ninety-seven billion, seven hundred twenty-three million, three hundred eighty-nine thousand, seven hundred twenty-one".