126481305924000 has 960 divisors, whose sum is σ = 471219150834432. Its totient is φ = 33221373696000.

The previous prime is 126481305923983. The next prime is 126481305924007. The reversal of 126481305924000 is 429503184621.

126481305924000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 8 + 13 + 0 + 592 + 40 + 0 + 0 = 666.

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 (126481305924007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32826706074 + ... + 32826709926.

Almost surely, 2^{126481305924000} is an apocalyptic number.

126481305924000 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 126481305924000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235609575417216).

126481305924000 is an abundant number, since it is smaller than the sum of its proper divisors (344737844910432).

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

126481305924000 is a wasteful number, since it uses less digits than its factorization.

126481305924000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5388 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 126481305924000 in words is "one hundred twenty-six trillion, four hundred eighty-one billion, three hundred five million, nine hundred twenty-four thousand".