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12319802880 = 293571183251
BaseRepresentation
bin10110111100101000…
…10100011000000000
31011210120212211102120
423132110110120000
5200212332143010
65354252044240
7614203411440
oct133624243000
934716784376
1012319802880
115252231280
122479a63680
1312144a70b8
1484c2a8120
154c1891e70
hex2de514600

12319802880 has 640 divisors, whose sum is σ = 49892806656. Its totient is φ = 2519040000.

The previous prime is 12319802867. The next prime is 12319802893. The reversal of 12319802880 is 8820891321.

It is an interprime number because it is at equal distance from previous prime (12319802867) and next prime (12319802893).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49082755 + ... + 49083005.

Almost surely, 212319802880 is an apocalyptic number.

12319802880 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 12319802880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946403328).

12319802880 is an abundant number, since it is smaller than the sum of its proper divisors (37573003776).

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

12319802880 is a wasteful number, since it uses less digits than its factorization.

12319802880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 12319802880 in words is "twelve billion, three hundred nineteen million, eight hundred two thousand, eight hundred eighty".