212404147200 has 1584 divisors, whose sum is σ = 942729375744. Its totient is φ = 44590694400.

The previous prime is 212404147177. The next prime is 212404147223. The reversal of 212404147200 is 2741404212.

212404147200 is a `hidden beast` number, since 2 + 1 + 2 + 40 + 414 + 7 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (212404147177) and next prime (212404147223).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1672473537 + ... + 1672473663.

Almost surely, 2^212404147200 is an apocalyptic number.

212404147200 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 212404147200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471364687872).

212404147200 is an abundant number, since it is smaller than the sum of its proper divisors (730325228544).

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

212404147200 is a wasteful number, since it uses less digits than its factorization.

212404147200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The spelling of 212404147200 in words is "two hundred twelve billion, four hundred four million, one hundred forty-seven thousand, two hundred".