212235878400 has 1152 divisors, whose sum is σ = 880375170240. Its totient is φ = 44166021120.

The previous prime is 212235878381. The next prime is 212235878419. The reversal of 212235878400 is 4878532212.

It is an interprime number because it is at equal distance from previous prime (212235878381) and next prime (212235878419).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2907340764 + ... + 2907340836.

Almost surely, 2^212235878400 is an apocalyptic number.

212235878400 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 212235878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440187585120).

212235878400 is an abundant number, since it is smaller than the sum of its proper divisors (668139291840).

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

212235878400 is an equidigital number, since it uses as much as digits as its factorization.

212235878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The spelling of 212235878400 in words is "two hundred twelve billion, two hundred thirty-five million, eight hundred seventy-eight thousand, four hundred".