126034971552000 has 2592 divisors, whose sum is σ = 554949400561920. Its totient is φ = 26898451660800.

The previous prime is 126034971551969. The next prime is 126034971552001. The reversal of 126034971552000 is 255179430621.

126034971552000 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 3 + 4 + 97 + 1 + 552 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×126034971552000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (126034971552001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 79819487211 + ... + 79819488789.

Almost surely, 2^{126034971552000} is an apocalyptic number.

126034971552000 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 126034971552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277474700280960).

126034971552000 is an abundant number, since it is smaller than the sum of its proper divisors (428914429009920).

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

126034971552000 is a wasteful number, since it uses less digits than its factorization.

126034971552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 126034971552000 in words is "one hundred twenty-six trillion, thirty-four billion, nine hundred seventy-one million, five hundred fifty-two thousand".