211331022000120 has 192 divisors, whose sum is σ = 749310319779840. Its totient is φ = 51228632160000.

The previous prime is 211331022000107. The next prime is 211331022000157. The reversal of 211331022000120 is 21000220133112.

211331022000120 is a `hidden beast` number, since 2 + 1 + 13 + 310 + 220 + 0 + 0 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211331022000093 and 211331022000102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63507745 + ... + 66752495.

It is an arithmetic number, because the mean of its divisors is an integer number (3902657915520).

Almost surely, 2^{211331022000120} is an apocalyptic number.

211331022000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211331022000120 is an abundant number, since it is smaller than the sum of its proper divisors (537979297779720).

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

211331022000120 is a wasteful number, since it uses less digits than its factorization.

211331022000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261226 (or 3261219 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211331022000120 its reverse (21000220133112), we get a palindrome (232331242133232).

The spelling of 211331022000120 in words is "two hundred eleven trillion, three hundred thirty-one billion, twenty-two million, one hundred twenty", and thus it is an aban number.