822629046121 has 27 divisors (see below), whose sum is σ = 851630090031. Its totient is φ = 794609434944.

The previous prime is 822629046101. The next prime is 822629046137. The reversal of 822629046121 is 121640926228.

The square root of 822629046121 is 906989.

It is a perfect power (a square), and thus also a powerful number.

822629046121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 237618226521 + 585010819600 = 487461^2 + 764860^2 .

It is not a de Polignac number, because 822629046121 - 2⁵ = 822629046089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (822629046101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5239675375 + ... + 5239675531.

Almost surely, 2^822629046121 is an apocalyptic number.

822629046121 is the 906989-th square number.

822629046121 is the 453495-th centered octagonal number.

It is an amenable number.

822629046121 is a deficient number, since it is larger than the sum of its proper divisors (29001043910).

822629046121 is an frugal number, since it uses more digits than its factorization.

822629046121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The spelling of 822629046121 in words is "eight hundred twenty-two billion, six hundred twenty-nine million, forty-six thousand, one hundred twenty-one".