211212413125 has 40 divisors (see below), whose sum is σ = 302231255040. Its totient is φ = 144545304000.

The previous prime is 211212413117. The next prime is 211212413141. The reversal of 211212413125 is 521314212112.

211212413125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211212413125 - 2³ = 211212413117 is a prime.

It is a super-2 number, since 2×211212413125² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 211212413125.

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 39 ways as a sum of consecutive naturals, for example, 2179452 + ... + 2274298.

It is an arithmetic number, because the mean of its divisors is an integer number (7555781376).

Almost surely, 2^211212413125 is an apocalyptic number.

211212413125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211212413125 is a deficient number, since it is larger than the sum of its proper divisors (91018841915).

211212413125 is an frugal number, since it uses more digits than its factorization.

211212413125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95383 (or 95368 counting only the distinct ones).

The product of its digits is 960, while the sum is 25.

Adding to 211212413125 its reverse (521314212112), we get a palindrome (732526625237).

The spelling of 211212413125 in words is "two hundred eleven billion, two hundred twelve million, four hundred thirteen thousand, one hundred twenty-five".