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12380155680 = 2535293072897
BaseRepresentation
bin10111000011110101…
…00010111100100000
31011221210110001220110
423201322202330200
5200323304440210
65404245411320
7615535405224
oct134172427440
934853401813
1012380155680
115283303222
122496109b40
131223b48809
148562d8784
154c6d14420
hex2e1ea2f20

12380155680 has 192 divisors, whose sum is σ = 40487610240. Its totient is φ = 3176054784.

The previous prime is 12380155661. The next prime is 12380155693. The reversal of 12380155680 is 8655108321.

It is a super-2 number, since 2×123801556802 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4271992 + ... + 4274888.

It is an arithmetic number, because the mean of its divisors is an integer number (210872970).

Almost surely, 212380155680 is an apocalyptic number.

12380155680 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 12380155680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243805120).

12380155680 is an abundant number, since it is smaller than the sum of its proper divisors (28107454560).

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

12380155680 is a wasteful number, since it uses less digits than its factorization.

12380155680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3251 (or 3243 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 12380155680 in words is "twelve billion, three hundred eighty million, one hundred fifty-five thousand, six hundred eighty".