211212211220120 has 128 divisors (see below), whose sum is σ = 558406826208000. Its totient is φ = 71069959457280.

The previous prime is 211212211220107. The next prime is 211212211220173. The reversal of 211212211220120 is 21022112212112.

It is a super-2 number, since 2×211212211220120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211212211220092 and 211212211220101.

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, 293415155 + ... + 294134114.

It is an arithmetic number, because the mean of its divisors is an integer number (4362553329750).

Almost surely, 2^{211212211220120} is an apocalyptic number.

211212211220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212211220120 is an abundant number, since it is smaller than the sum of its proper divisors (347194614987880).

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

211212211220120 is a wasteful number, since it uses less digits than its factorization.

211212211220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587549353 (or 587549349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 211212211220120 its reverse (21022112212112), we get a palindrome (232234323432232).

The spelling of 211212211220120 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".