126002361321144 has 144 divisors (see below), whose sum is σ = 433060063857720. Its totient is φ = 32727886047360.

The previous prime is 126002361321127. The next prime is 126002361321163. The reversal of 126002361321144 is 441123163200621.

126002361321144 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 0 + 2 + 3 + 613 + 21 + 14 + 4 = 666.

It is a super-3 number, since 3×126002361321144³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 126002361321099 and 126002361321108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1623368239 + ... + 1623445854.

Almost surely, 2^{126002361321144} is an apocalyptic number.

126002361321144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

126002361321144 is an abundant number, since it is smaller than the sum of its proper divisors (307057702536576).

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

126002361321144 is a wasteful number, since it uses less digits than its factorization.

126002361321144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3246814130 (or 3246814116 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 126002361321144 in words is "one hundred twenty-six trillion, two billion, three hundred sixty-one million, three hundred twenty-one thousand, one hundred forty-four".