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12720760224 = 2531931367613
BaseRepresentation
bin10111101100011011…
…10110010110100000
31012211112100120111120
423312031312112200
5202023003311344
65502134012240
7630142451334
oct136615662640
935745316446
1012720760224
1154385a0487
1225701a7080
131279592373
1488963b7c4
154e6b94219
hex2f63765a0

12720760224 has 192 divisors, whose sum is σ = 36441538560. Its totient is φ = 3870581760.

The previous prime is 12720760211. The next prime is 12720760229. The reversal of 12720760224 is 42206702721.

It is a happy number.

It is a super-3 number, since 3×127207602243 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12720760229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20751342 + ... + 20751954.

It is an arithmetic number, because the mean of its divisors is an integer number (189799680).

Almost surely, 212720760224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12720760224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220769280).

12720760224 is an abundant number, since it is smaller than the sum of its proper divisors (23720778336).

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

12720760224 is a wasteful number, since it uses less digits than its factorization.

12720760224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1035 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The spelling of 12720760224 in words is "twelve billion, seven hundred twenty million, seven hundred sixty thousand, two hundred twenty-four".