211312312221120 has 224 divisors, whose sum is σ = 743907519300096. Its totient is φ = 50387436441600.

The previous prime is 211312312221107. The next prime is 211312312221139. The reversal of 211312312221120 is 21122213213112.

It is a super-2 number, since 2×211312312221120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163377444 + ... + 164665763.

Almost surely, 2^{211312312221120} is an apocalyptic number.

211312312221120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211312312221120 is an abundant number, since it is smaller than the sum of its proper divisors (532595207078976).

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

211312312221120 is a wasteful number, since it uses less digits than its factorization.

211312312221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328043299 (or 328043289 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 211312312221120 its reverse (21122213213112), we get a palindrome (232434525434232).

The spelling of 211312312221120 in words is "two hundred eleven trillion, three hundred twelve billion, three hundred twelve million, two hundred twenty-one thousand, one hundred twenty".