210015214112000 has 288 divisors, whose sum is σ = 570977818879104. Its totient is φ = 76336736256000.

The previous prime is 210015214111991. The next prime is 210015214112009. The reversal of 210015214112000 is 211412510012.

It is an interprime number because it is at equal distance from previous prime (210015214111991) and next prime (210015214112009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210015214112009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836578499 + ... + 836829501.

It is an arithmetic number, because the mean of its divisors is an integer number (1982561871108).

Almost surely, 2^{210015214112000} is an apocalyptic number.

210015214112000 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 210015214112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285488909439552).

210015214112000 is an abundant number, since it is smaller than the sum of its proper divisors (360962604767104).

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

210015214112000 is a wasteful number, since it uses less digits than its factorization.

210015214112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253422 (or 253398 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

Adding to 210015214112000 its reverse (211412510012), we get a palindrome (210226626622012).

The spelling of 210015214112000 in words is "two hundred ten trillion, fifteen billion, two hundred fourteen million, one hundred twelve thousand".