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12990999840 = 25357132367193
BaseRepresentation
bin11000001100101001…
…01110110100100000
31020112100212011120020
430012110232310200
5203101143443330
65545030113440
7636633451050
oct140624566440
936470764506
1012990999840
115567098505
1226267ab880
1312c0570270
148b34a5560
15510775210
hex30652ed20

12990999840 has 768 divisors, whose sum is σ = 53615665152. Its totient is φ = 2569273344.

The previous prime is 12990999793. The next prime is 12990999869. The reversal of 12990999840 is 4899909921.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67310784 + ... + 67310976.

It is an arithmetic number, because the mean of its divisors is an integer number (69812064).

Almost surely, 212990999840 is an apocalyptic number.

12990999840 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 12990999840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26807832576).

12990999840 is an abundant number, since it is smaller than the sum of its proper divisors (40624665312).

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

12990999840 is a wasteful number, since it uses less digits than its factorization.

12990999840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 60.

The spelling of 12990999840 in words is "twelve billion, nine hundred ninety million, nine hundred ninety-nine thousand, eight hundred forty".