42212129090901 has 32 divisors (see below), whose sum is σ = 70182713668608. Its totient is φ = 21924659475840.

The previous prime is 42212129090897. The next prime is 42212129090927. The reversal of 42212129090901 is 10909092121224.

It is not a de Polignac number, because 42212129090901 - 2² = 42212129090897 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42212129090941) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14131815 + ... + 16856228.

It is an arithmetic number, because the mean of its divisors is an integer number (2193209802144).

Almost surely, 2^{42212129090901} is an apocalyptic number.

It is an amenable number.

42212129090901 is a deficient number, since it is larger than the sum of its proper divisors (27970584577707).

42212129090901 is a wasteful number, since it uses less digits than its factorization.

42212129090901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30993961.

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 42212129090901 in words is "forty-two trillion, two hundred twelve billion, one hundred twenty-nine million, ninety thousand, nine hundred one".