12254055132000 has 768 divisors, whose sum is σ = 44089299910656. Its totient is φ = 2950721280000.

The previous prime is 12254055131999. The next prime is 12254055132079. The reversal of 12254055132000 is 23155045221.

It is a super-3 number, since 3×12254055132000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 21460691715 + ... + 21460692285.

It is an arithmetic number, because the mean of its divisors is an integer number (57407942592).

Almost surely, 2^{12254055132000} is an apocalyptic number.

12254055132000 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 12254055132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22044649955328).

12254055132000 is an abundant number, since it is smaller than the sum of its proper divisors (31835244778656).

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

12254055132000 is a wasteful number, since it uses less digits than its factorization.

12254055132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 12254055132000 in words is "twelve trillion, two hundred fifty-four billion, fifty-five million, one hundred thirty-two thousand".