212252729832 has 672 divisors, whose sum is σ = 748411944840. Its totient is φ = 55837900800.

The previous prime is 212252729789. The next prime is 212252729851. The reversal of 212252729832 is 238927252212.

212252729832 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 527 + 2 + 98 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140485534596 + 71767195236 = 374814^2 + 267894^2 .

It is a super-2 number, since 2×212252729832² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 155952832 + ... + 155954192.

Almost surely, 2^212252729832 is an apocalyptic number.

212252729832 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212252729832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374205972420).

212252729832 is an abundant number, since it is smaller than the sum of its proper divisors (536159215008).

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

212252729832 is a wasteful number, since it uses less digits than its factorization.

212252729832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1407 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 212252729832 in words is "two hundred twelve billion, two hundred fifty-two million, seven hundred twenty-nine thousand, eight hundred thirty-two".