212151228252480 has 2240 divisors, whose sum is σ = 885292222864896. Its totient is φ = 47706734592000.

The previous prime is 212151228252377. The next prime is 212151228252493. The reversal of 212151228252480 is 84252822151212.

212151228252480 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 512 + 2 + 8 + 2 + 52 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 46514189400 + ... + 46514193960.

Almost surely, 2^{212151228252480} is an apocalyptic number.

212151228252480 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 212151228252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442646111432448).

212151228252480 is an abundant number, since it is smaller than the sum of its proper divisors (673140994612416).

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

212151228252480 is a wasteful number, since it uses less digits than its factorization.

212151228252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4838 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 212151228252480 in words is "two hundred twelve trillion, one hundred fifty-one billion, two hundred twenty-eight million, two hundred fifty-two thousand, four hundred eighty".