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12021933120 = 2635431811609
BaseRepresentation
bin10110011001001000…
…00010010001000000
31011000211101110221020
423030210002101000
5144110103324440
65304531425440
7603625513461
oct131444022100
934024343836
1012021933120
11510a08231a
1223b6155280
131197873ac2
148208cad68
154a56543d0
hex2cc902440

12021933120 has 224 divisors, whose sum is σ = 39297498240. Its totient is φ = 3112058880.

The previous prime is 12021933113. The next prime is 12021933127. The reversal of 12021933120 is 2133912021.

It is an interprime number because it is at equal distance from previous prime (12021933113) and next prime (12021933127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (12021933127) 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, 7470876 + ... + 7472484.

It is an arithmetic number, because the mean of its divisors is an integer number (175435260).

Almost surely, 212021933120 is an apocalyptic number.

12021933120 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 12021933120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19648749120).

12021933120 is an abundant number, since it is smaller than the sum of its proper divisors (27275565120).

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

12021933120 is a wasteful number, since it uses less digits than its factorization.

12021933120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853 (or 1843 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 12021933120 in words is "twelve billion, twenty-one million, nine hundred thirty-three thousand, one hundred twenty".