212001971963628 has 576 divisors, whose sum is σ = 656489909956608. Its totient is φ = 51690772546560.

The previous prime is 212001971963627. The next prime is 212001971963693. The reversal of 212001971963628 is 826369179100212.

It is a super-2 number, since 2×212001971963628² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212001971963627) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63340892251 + ... + 63340895597.

It is an arithmetic number, because the mean of its divisors is an integer number (1139739427008).

Almost surely, 2^{212001971963628} is an apocalyptic number.

212001971963628 is a gapful number since it is divisible by the number (28) 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 212001971963628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328244954978304).

212001971963628 is an abundant number, since it is smaller than the sum of its proper divisors (444487937992980).

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

212001971963628 is a wasteful number, since it uses less digits than its factorization.

212001971963628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 212001971963628 in words is "two hundred twelve trillion, one billion, nine hundred seventy-one million, nine hundred sixty-three thousand, six hundred twenty-eight".