12124141920000 has 1620 divisors, whose sum is σ = 48439989397800. Its totient is φ = 2913208320000.

The previous prime is 12124141919983. The next prime is 12124141920031. The reversal of 12124141920000 is 2914142121.

It is a happy number.

12124141920000 is a `hidden beast` number, since 1 + 2 + 1 + 2 + 41 + 419 + 200 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 25961759767 + ... + 25961760233.

Almost surely, 2^{12124141920000} is an apocalyptic number.

12124141920000 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 12124141920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24219994698900).

12124141920000 is an abundant number, since it is smaller than the sum of its proper divisors (36315847477800).

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

12124141920000 is a wasteful number, since it uses less digits than its factorization.

12124141920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 12124141920000 in words is "twelve trillion, one hundred twenty-four billion, one hundred forty-one million, nine hundred twenty thousand".