212134133400 has 192 divisors, whose sum is σ = 767552302080. Its totient is φ = 47456102400.

The previous prime is 212134133399. The next prime is 212134133411. The reversal of 212134133400 is 4331431212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339921 + ... + 734720.

It is an arithmetic number, because the mean of its divisors is an integer number (3997668240).

Almost surely, 2^212134133400 is an apocalyptic number.

212134133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212134133400 is an abundant number, since it is smaller than the sum of its proper divisors (555418168680).

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

212134133400 is a wasteful number, since it uses less digits than its factorization.

212134133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074714 (or 1074705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 212134133400 its reverse (4331431212), we get a palindrome (216465564612).

The spelling of 212134133400 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred thirty-three thousand, four hundred".