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12830212080 = 2434571914887
BaseRepresentation
bin10111111001011110…
…10111111111110000
31020010011022022020000
423330233113333300
5202234013241310
65521043550000
7632642001060
oct137457277760
936104268200
1012830212080
115494358264
1225a098b300
13129616508a
14899dad3a0
155015b44c0
hex2fcbd7ff0

12830212080 has 400 divisors, whose sum is σ = 53611092480. Its totient is φ = 2778084864.

The previous prime is 12830212063. The next prime is 12830212097. The reversal of 12830212080 is 8021203821.

It is an interprime number because it is at equal distance from previous prime (12830212063) and next prime (12830212097).

It is a super-2 number, since 2×128302120802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 854397 + ... + 869283.

Almost surely, 212830212080 is an apocalyptic number.

12830212080 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 12830212080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26805546240).

12830212080 is an abundant number, since it is smaller than the sum of its proper divisors (40780880400).

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

12830212080 is a wasteful number, since it uses less digits than its factorization.

12830212080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14938 (or 14923 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12830212080 in words is "twelve billion, eight hundred thirty million, two hundred twelve thousand, eighty".