126772629120 has 512 divisors, whose sum is σ = 470486016000. Its totient is φ = 32199856128.

The previous prime is 126772629089. The next prime is 126772629149. The reversal of 126772629120 is 21926277621.

126772629120 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 7 + 2 + 629 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122013561 + ... + 122014599.

It is an arithmetic number, because the mean of its divisors is an integer number (918918000).

Almost surely, 2^126772629120 is an apocalyptic number.

126772629120 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 126772629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235243008000).

126772629120 is an abundant number, since it is smaller than the sum of its proper divisors (343713386880).

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

126772629120 is a wasteful number, since it uses less digits than its factorization.

126772629120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 126772629120 in words is "one hundred twenty-six billion, seven hundred seventy-two million, six hundred twenty-nine thousand, one hundred twenty".