12542772000 has 192 divisors, whose sum is σ = 44826058368. Its totient is φ = 3040640000.

The previous prime is 12542771971. The next prime is 12542772013. The reversal of 12542772000 is 27724521.

It is a super-2 number, since 2×12542772000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84490 + ... + 179510.

It is an arithmetic number, because the mean of its divisors is an integer number (233469054).

Almost surely, 2^12542772000 is an apocalyptic number.

12542772000 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 12542772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22413029184).

12542772000 is an abundant number, since it is smaller than the sum of its proper divisors (32283286368).

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

12542772000 is a wasteful number, since it uses less digits than its factorization.

12542772000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95060 (or 95042 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 12542772000 in words is "twelve billion, five hundred forty-two million, seven hundred seventy-two thousand".