212414100 has 36 divisors (see below), whose sum is σ = 614585664. Its totient is φ = 56643680.

The previous prime is 212414087. The next prime is 212414107. The reversal of 212414100 is 1414212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 212414100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212414107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 353724 + ... + 354323.

It is an arithmetic number, because the mean of its divisors is an integer number (17071824).

Almost surely, 2^212414100 is an apocalyptic number.

212414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212414100 is an abundant number, since it is smaller than the sum of its proper divisors (402171564).

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

212414100 is a wasteful number, since it uses less digits than its factorization.

212414100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708064 (or 708057 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212414100 is about 14574.4330936061. The cubic root of 212414100 is about 596.6611771218.

Adding to 212414100 its reverse (1414212), we get a palindrome (213828312).

The spelling of 212414100 in words is "two hundred twelve million, four hundred fourteen thousand, one hundred".