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12280674168 = 23337192149151
BaseRepresentation
bin10110110111111110…
…00011011101111000
31011200212020212221000
423123333003131320
5200122323033133
65350333245000
7613220002530
oct133377033570
934625225830
1012280674168
1152321362a4
122468933760
131209357009
148470004c0
154bd213413
hex2dbfc3778

12280674168 has 384 divisors, whose sum is σ = 41696640000. Its totient is φ = 3279916800.

The previous prime is 12280674163. The next prime is 12280674191. The reversal of 12280674168 is 86147608221.

12280674168 is a `hidden beast` number, since 1 + 228 + 0 + 6 + 7 + 416 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12280674163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 81328893 + ... + 81329043.

It is an arithmetic number, because the mean of its divisors is an integer number (108585000).

Almost surely, 212280674168 is an apocalyptic number.

12280674168 is a gapful number since it is divisible by the number (18) 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 12280674168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20848320000).

12280674168 is an abundant number, since it is smaller than the sum of its proper divisors (29415965832).

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

12280674168 is a wasteful number, since it uses less digits than its factorization.

12280674168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 12280674168 in words is "twelve billion, two hundred eighty million, six hundred seventy-four thousand, one hundred sixty-eight".