12152140779960 has 1536 divisors, whose sum is σ = 45259119360000. Its totient is φ = 2814230200320.

The previous prime is 12152140779901. The next prime is 12152140779967. The reversal of 12152140779960 is 6997704125121.

12152140779960 is a `hidden beast` number, since 1 + 2 + 1 + 521 + 40 + 7 + 79 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12152140779897 and 12152140779906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12152140779967) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 74553010839 + ... + 74553011001.

It is an arithmetic number, because the mean of its divisors is an integer number (29465572500).

Almost surely, 2^{12152140779960} is an apocalyptic number.

12152140779960 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 12152140779960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22629559680000).

12152140779960 is an abundant number, since it is smaller than the sum of its proper divisors (33106978580040).

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

12152140779960 is a wasteful number, since it uses less digits than its factorization.

12152140779960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 12152140779960 in words is "twelve trillion, one hundred fifty-two billion, one hundred forty million, seven hundred seventy-nine thousand, nine hundred sixty".