211212210201120 has 144 divisors (see below), whose sum is σ = 720784600728192. Its totient is φ = 56321463943680.

The previous prime is 211212210201101. The next prime is 211212210201151. The reversal of 211212210201120 is 21102012212112.

211212210201120 is a `hidden beast` number, since 2 + 1 + 121 + 221 + 0 + 201 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×211212210201120² (a number of 29 digits) contains 22 as substring.

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 = 211212210201093 and 211212210201102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43248265 + ... + 47883575.

It is an arithmetic number, because the mean of its divisors is an integer number (5005448616168).

Almost surely, 2^{211212210201120} is an apocalyptic number.

211212210201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212210201120 is an abundant number, since it is smaller than the sum of its proper divisors (509572390527072).

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

211212210201120 is a wasteful number, since it uses less digits than its factorization.

211212210201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666975 (or 4666964 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211212210201120 its reverse (21102012212112), we get a palindrome (232314222413232).

The spelling of 211212210201120 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred ten million, two hundred one thousand, one hundred twenty".