212112090949632 has 96 divisors (see below), whose sum is σ = 565672984662240. Its totient is φ = 70681670369280.

The previous prime is 212112090949609. The next prime is 212112090949669. The reversal of 212112090949632 is 236949090211212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×212112090949632³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13976082 + ... + 24890862.

It is an arithmetic number, because the mean of its divisors is an integer number (5892426923565).

Almost surely, 2^{212112090949632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212112090949632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282836492331120).

212112090949632 is an abundant number, since it is smaller than the sum of its proper divisors (353560893712608).

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

212112090949632 is a wasteful number, since it uses less digits than its factorization.

212112090949632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10917969 (or 10917949 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 51.

The spelling of 212112090949632 in words is "two hundred twelve trillion, one hundred twelve billion, ninety million, nine hundred forty-nine thousand, six hundred thirty-two".