212342153200 has 120 divisors (see below), whose sum is σ = 537781673520. Its totient is φ = 80349696000.

The previous prime is 212342153171. The next prime is 212342153201. The reversal of 212342153200 is 2351243212.

It is a super-3 number, since 3×212342153200³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212342153201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5307672 + ... + 5347528.

It is an arithmetic number, because the mean of its divisors is an integer number (4481513946).

Almost surely, 2^212342153200 is an apocalyptic number.

212342153200 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 212342153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268890836760).

212342153200 is an abundant number, since it is smaller than the sum of its proper divisors (325439520320).

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

212342153200 is a wasteful number, since it uses less digits than its factorization.

212342153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40595 (or 40584 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 212342153200 its reverse (2351243212), we get a palindrome (214693396412).

The spelling of 212342153200 in words is "two hundred twelve billion, three hundred forty-two million, one hundred fifty-three thousand, two hundred".