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12964002483120 = 24351317243334363
BaseRepresentation
bin1011110010100110101011…
…0000110100101110110000
31200220100100121211012102120
42330221222300310232300
53144400234113424440
643323325220514240
72505422031635523
oct274515260645660
950810317735376
1012964002483120
114149003481547
12155461624b980
13730666bb6880
1432b665256bba
15177354265dd0
hexbca6ac34bb0

12964002483120 has 480 divisors, whose sum is σ = 47044790107392. Its totient is φ = 2933569142784.

The previous prime is 12964002483101. The next prime is 12964002483139. The reversal of 12964002483120 is 2138420046921.

It is a happy number.

12964002483120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12964002483101) and next prime (12964002483139).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38605059 + ... + 38939421.

Almost surely, 212964002483120 is an apocalyptic number.

12964002483120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12964002483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522395053696).

12964002483120 is an abundant number, since it is smaller than the sum of its proper divisors (34080787624272).

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

12964002483120 is a wasteful number, since it uses less digits than its factorization.

12964002483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334469 (or 334446 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 12964002483120 in words is "twelve trillion, nine hundred sixty-four billion, two million, four hundred eighty-three thousand, one hundred twenty".