210122000112000 has 1024 divisors, whose sum is σ = 733692734611200. Its totient is φ = 53125742592000.

The previous prime is 210122000111951. The next prime is 210122000112023. The reversal of 210122000112000 is 211000221012.

210122000112000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×210122000112000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 117452207106 + ... + 117452208894.

Almost surely, 2^{210122000112000} is an apocalyptic number.

210122000112000 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 210122000112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366846367305600).

210122000112000 is an abundant number, since it is smaller than the sum of its proper divisors (523570734499200).

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

210122000112000 is a wasteful number, since it uses less digits than its factorization.

210122000112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3512 (or 3490 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210122000112000 its reverse (211000221012), we get a palindrome (210333000333012).

The spelling of 210122000112000 in words is "two hundred ten trillion, one hundred twenty-two billion, one hundred twelve thousand".