212253126000 has 160 divisors (see below), whose sum is σ = 724557607488. Its totient is φ = 53271347200.

The previous prime is 212253125993. The next prime is 212253126011. The reversal of 212253126000 is 621352212.

212253126000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 938457 + ... + 1142456.

Almost surely, 2^212253126000 is an apocalyptic number.

212253126000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212253126000 is an abundant number, since it is smaller than the sum of its proper divisors (512304481488).

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

212253126000 is a wasteful number, since it uses less digits than its factorization.

212253126000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080956 (or 2080940 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 212253126000 its reverse (621352212), we get a palindrome (212874478212).

It can be divided in two parts, 212253 and 126000, that added together give a triangular number (338253 = T₈₂₂).

The spelling of 212253126000 in words is "two hundred twelve billion, two hundred fifty-three million, one hundred twenty-six thousand".