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12938666700000 = 25355397108637
BaseRepresentation
bin1011110001001000010010…
…1000011110110011100000
31200210220221221002001202210
42330102010220132303200
53143441342133400000
643303535203042120
72503534136221566
oct274220450366340
950726857061683
1012938666700000
114139292050708
12154b725370340
1372b159c34222
1432a340463a36
1517686ed67350
hexbc484a1ece0

12938666700000 has 288 divisors, whose sum is σ = 42559607448288. Its totient is φ = 3441588480000.

The previous prime is 12938666699957. The next prime is 12938666700101. The reversal of 12938666700000 is 766683921.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119045682 + ... + 119154318.

It is an arithmetic number, because the mean of its divisors is an integer number (147776414751).

Almost surely, 212938666700000 is an apocalyptic number.

12938666700000 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 12938666700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21279803724144).

12938666700000 is an abundant number, since it is smaller than the sum of its proper divisors (29620940748288).

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

12938666700000 is an equidigital number, since it uses as much as digits as its factorization.

12938666700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109072 (or 109044 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 12938666700000 in words is "twelve trillion, nine hundred thirty-eight billion, six hundred sixty-six million, seven hundred thousand".