212601496800 has 2304 divisors, whose sum is σ = 984896962560. Its totient is φ = 38486016000.

The previous prime is 212601496799. The next prime is 212601496847. The reversal of 212601496800 is 8694106212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3603415171 + ... + 3603415229.

It is an arithmetic number, because the mean of its divisors is an integer number (427472640).

Almost surely, 2^212601496800 is an apocalyptic number.

212601496800 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 212601496800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492448481280).

212601496800 is an abundant number, since it is smaller than the sum of its proper divisors (772295465760).

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

212601496800 is a wasteful number, since it uses less digits than its factorization.

212601496800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 212601496800 in words is "two hundred twelve billion, six hundred one million, four hundred ninety-six thousand, eight hundred".