210000120000000 has 1280 divisors, whose sum is σ = 796173286791168. Its totient is φ = 48688640000000.

The previous prime is 210000119999983. The next prime is 210000120000059. The reversal of 210000120000000 is 21000012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30359996542 + ... + 30360003458.

Almost surely, 2^{210000120000000} is an apocalyptic number.

210000120000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000120000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398086643395584).

210000120000000 is an abundant number, since it is smaller than the sum of its proper divisors (586173166791168).

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

210000120000000 is an frugal number, since it uses more digits than its factorization.

210000120000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 210000120000000 its reverse (21000012), we get a palindrome (210000141000012).

210000120000000 divided by its reverse (21000012) gives a 7-th power (10000000 = 10⁷).

The spelling of 210000120000000 in words is "two hundred ten trillion, one hundred twenty million", and thus it is an aban number.