212448683251200 has 1920 divisors, whose sum is σ = 821608591541760. Its totient is φ = 47846522880000.

The previous prime is 212448683251183. The next prime is 212448683251249. The reversal of 212448683251200 is 2152386844212.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 212448683251200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 313808985262 + ... + 313808985938.

It is an arithmetic number, because the mean of its divisors is an integer number (427921141428).

Almost surely, 2^{212448683251200} is an apocalyptic number.

212448683251200 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 212448683251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410804295770880).

212448683251200 is an abundant number, since it is smaller than the sum of its proper divisors (609159908290560).

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

212448683251200 is a wasteful number, since it uses less digits than its factorization.

212448683251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 212448683251200 in words is "two hundred twelve trillion, four hundred forty-eight billion, six hundred eighty-three million, two hundred fifty-one thousand, two hundred".