214211000120 has 64 divisors (see below), whose sum is σ = 519104013120. Its totient is φ = 79085021184.

The previous prime is 214211000083. The next prime is 214211000123. The reversal of 214211000120 is 21000112412.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 214211000095 and 214211000104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214211000123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7435664 + ... + 7464416.

It is an arithmetic number, because the mean of its divisors is an integer number (8111000205).

Almost surely, 2^214211000120 is an apocalyptic number.

214211000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214211000120 is an abundant number, since it is smaller than the sum of its proper divisors (304893013000).

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

214211000120 is a wasteful number, since it uses less digits than its factorization.

214211000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43104 (or 43100 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 214211000120 its reverse (21000112412), we get a palindrome (235211112532).

The spelling of 214211000120 in words is "two hundred fourteen billion, two hundred eleven million, one hundred twenty", and thus it is an aban number.