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12401940480 = 211352913921
BaseRepresentation
bin10111000110011011…
…01001100000000000
31012000022102212000220
423203031221200000
5200344344043410
65410344343040
7616221516606
oct134315514000
935008385026
1012401940480
115294632496
1224a1474a80
131228505427
14859169876
154c8bb9070
hex2e3369800

12401940480 has 192 divisors, whose sum is σ = 41047624800. Its totient is φ = 3192913920.

The previous prime is 12401940461. The next prime is 12401940527. The reversal of 12401940480 is 8404910421.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 883920 + ... + 897840.

Almost surely, 212401940480 is an apocalyptic number.

12401940480 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 12401940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523812400).

12401940480 is an abundant number, since it is smaller than the sum of its proper divisors (28645684320).

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

12401940480 is a wasteful number, since it uses less digits than its factorization.

12401940480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13980 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The spelling of 12401940480 in words is "twelve billion, four hundred one million, nine hundred forty thousand, four hundred eighty".