212153042331120 has 960 divisors, whose sum is σ = 768955083724800. Its totient is φ = 47974683525120.

The previous prime is 212153042331119. The next prime is 212153042331149. The reversal of 212153042331120 is 21133240351212.

It is a super-3 number, since 3×212153042331120³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 78372012807 + ... + 78372015513.

It is an arithmetic number, because the mean of its divisors is an integer number (800994878880).

Almost surely, 2^{212153042331120} is an apocalyptic number.

212153042331120 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 212153042331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384477541862400).

212153042331120 is an abundant number, since it is smaller than the sum of its proper divisors (556802041393680).

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

212153042331120 is a wasteful number, since it uses less digits than its factorization.

212153042331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3646 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 212153042331120 its reverse (21133240351212), we get a palindrome (233286282682332).

The spelling of 212153042331120 in words is "two hundred twelve trillion, one hundred fifty-three billion, forty-two million, three hundred thirty-one thousand, one hundred twenty".