126056121400 has 192 divisors, whose sum is σ = 329192100000. Its totient is φ = 44487475200.

The previous prime is 126056121397. The next prime is 126056121421. The reversal of 126056121400 is 4121650621.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36546876 + ... + 36550324.

Almost surely, 2^126056121400 is an apocalyptic number.

126056121400 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 126056121400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164596050000).

126056121400 is an abundant number, since it is smaller than the sum of its proper divisors (203135978600).

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

126056121400 is a wasteful number, since it uses less digits than its factorization.

126056121400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

It can be divided in two parts, 126056 and 121400, that added together give a triangular number (247456 = T₇₀₃).

The spelling of 126056121400 in words is "one hundred twenty-six billion, fifty-six million, one hundred twenty-one thousand, four hundred".