212424013100 has 72 divisors (see below), whose sum is σ = 496632796800. Its totient is φ = 78399636480.

The previous prime is 212424013057. The next prime is 212424013127. The reversal of 212424013100 is 1310424212.

It is a super-2 number, since 2×212424013100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3084644 + ... + 3152756.

Almost surely, 2^212424013100 is an apocalyptic number.

212424013100 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 212424013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248316398400).

212424013100 is an abundant number, since it is smaller than the sum of its proper divisors (284208783700).

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

212424013100 is a wasteful number, since it uses less digits than its factorization.

212424013100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70539 (or 70532 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 212424013100 its reverse (1310424212), we get a palindrome (213734437312).

The spelling of 212424013100 in words is "two hundred twelve billion, four hundred twenty-four million, thirteen thousand, one hundred".