212142033400 has 192 divisors, whose sum is σ = 557774300160. Its totient is φ = 74338560000.

The previous prime is 212142033391. The next prime is 212142033409. The reversal of 212142033400 is 4330241212.

It is an interprime number because it is at equal distance from previous prime (212142033391) and next prime (212142033409).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212142033409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16429747 + ... + 16442653.

It is an arithmetic number, because the mean of its divisors is an integer number (2905074480).

Almost surely, 2^212142033400 is an apocalyptic number.

212142033400 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 212142033400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278887150080).

212142033400 is an abundant number, since it is smaller than the sum of its proper divisors (345632266760).

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

212142033400 is a wasteful number, since it uses less digits than its factorization.

212142033400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13206 (or 13197 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 212142033400 its reverse (4330241212), we get a palindrome (216472274612).

The spelling of 212142033400 in words is "two hundred twelve billion, one hundred forty-two million, thirty-three thousand, four hundred".