42120726125 has 16 divisors (see below), whose sum is σ = 52762123440. Its totient is φ = 33571288000.

The previous prime is 42120726121. The next prime is 42120726149. The reversal of 42120726125 is 52162702124.

It can be written as a sum of positive squares in 8 ways, for example, as 19064429476 + 23056296649 = 138074^2 + 151843^2 .

It is not a de Polignac number, because 42120726125 - 2² = 42120726121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42120726091 and 42120726100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42120726121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592706 + ... + 659955.

It is an arithmetic number, because the mean of its divisors is an integer number (3297632715).

Almost surely, 2^42120726125 is an apocalyptic number.

It is an amenable number.

42120726125 is a deficient number, since it is larger than the sum of its proper divisors (10641397315).

42120726125 is a wasteful number, since it uses less digits than its factorization.

42120726125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252945 (or 1252935 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 42120726125 in words is "forty-two billion, one hundred twenty million, seven hundred twenty-six thousand, one hundred twenty-five".