12949154293140 has 864 divisors, whose sum is σ = 46449780695136. Its totient is φ = 2900211793920.

The previous prime is 12949154293121. The next prime is 12949154293213. The reversal of 12949154293140 is 4139245194921.

12949154293140 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 9 + 1 + 542 + 93 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 12900711163536 + 48443129604 = 3591756^2 + 220098^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3133110514 + ... + 3133114646.

It is an arithmetic number, because the mean of its divisors is an integer number (53761320249).

Almost surely, 2^{12949154293140} is an apocalyptic number.

12949154293140 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 12949154293140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224890347568).

12949154293140 is an abundant number, since it is smaller than the sum of its proper divisors (33500626401996).

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

12949154293140 is a wasteful number, since it uses less digits than its factorization.

12949154293140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4349 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 12949154293140 in words is "twelve trillion, nine hundred forty-nine billion, one hundred fifty-four million, two hundred ninety-three thousand, one hundred forty".