212435797920 has 192 divisors, whose sum is σ = 699498374400. Its totient is φ = 54090989568.

The previous prime is 212435797909. The next prime is 212435797921. The reversal of 212435797920 is 29797534212.

It is not an unprimeable number, because it can be changed into a prime (212435797921) 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, 6353406 + ... + 6386754.

It is an arithmetic number, because the mean of its divisors is an integer number (3643220700).

Almost surely, 2^212435797920 is an apocalyptic number.

212435797920 is a gapful number since it is divisible by the number (20) 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 212435797920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349749187200).

212435797920 is an abundant number, since it is smaller than the sum of its proper divisors (487062576480).

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

212435797920 is a wasteful number, since it uses less digits than its factorization.

212435797920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33967 (or 33959 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 212435797920 in words is "two hundred twelve billion, four hundred thirty-five million, seven hundred ninety-seven thousand, nine hundred twenty".