212400133422140 has 96 divisors (see below), whose sum is σ = 476103686587200. Its totient is φ = 79317254615040.

The previous prime is 212400133422131. The next prime is 212400133422233. The reversal of 212400133422140 is 41224331004212.

It is a super-2 number, since 2×212400133422140² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15873755 + ... + 26014925.

It is an arithmetic number, because the mean of its divisors is an integer number (4959413401950).

Almost surely, 2^{212400133422140} is an apocalyptic number.

212400133422140 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 212400133422140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238051843293600).

212400133422140 is an abundant number, since it is smaller than the sum of its proper divisors (263703553165060).

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

212400133422140 is a wasteful number, since it uses less digits than its factorization.

212400133422140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141695 (or 10141693 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 212400133422140 its reverse (41224331004212), we get a palindrome (253624464426352).

The spelling of 212400133422140 in words is "two hundred twelve trillion, four hundred billion, one hundred thirty-three million, four hundred twenty-two thousand, one hundred forty".