212303550009600 has 2835 divisors, whose sum is σ = 931597669467157. Its totient is φ = 47704042229760.

The previous prime is 212303550009589. The next prime is 212303550009637. The reversal of 212303550009600 is 6900055303212.

The square root of 212303550009600 is 14570640.

It is a perfect power (a square), and thus also a powerful number.

212303550009600 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 35 + 500 + 0 + 96 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76429278003456 + 135874272006144 = 8742384^2 + 11656512^2 .

It is a tau number, because it is divible by the number of its divisors (2835).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 3598365254371 + ... + 3598365254429.

Almost surely, 2^{212303550009600} is an apocalyptic number.

212303550009600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

212303550009600 is the 14570640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212303550009600

212303550009600 is an abundant number, since it is smaller than the sum of its proper divisors (719294119457557).

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

212303550009600 is an frugal number, since it uses more digits than its factorization.

212303550009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

212303550009600 divided by its sum of digits (36) gives a square (5897320833600 = 2428440²).

The spelling of 212303550009600 in words is "two hundred twelve trillion, three hundred three billion, five hundred fifty million, nine thousand, six hundred".