210032212000 has 384 divisors, whose sum is σ = 598558222080. Its totient is φ = 71733657600.

The previous prime is 210032211959. The next prime is 210032212009. The reversal of 210032212000 is 212230012.

It is a super-2 number, since 2×210032212000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (210032212009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52153987 + ... + 52158013.

It is an arithmetic number, because the mean of its divisors is an integer number (1558745370).

Almost surely, 2^210032212000 is an apocalyptic number.

210032212000 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 210032212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299279111040).

210032212000 is an abundant number, since it is smaller than the sum of its proper divisors (388526010080).

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

210032212000 is a wasteful number, since it uses less digits than its factorization.

210032212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4141 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 210032212000 its reverse (212230012), we get a palindrome (210244442012).

The spelling of 210032212000 in words is "two hundred ten billion, thirty-two million, two hundred twelve thousand".