212468100 has 144 divisors (see below), whose sum is σ = 668165568. Its totient is φ = 51816960.

The previous prime is 212468099. The next prime is 212468107. The reversal of 212468100 is 1864212.

It is a super-2 number, since 2×212468100² = 90285387035220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212468107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 612127 + ... + 612473.

Almost surely, 2^212468100 is an apocalyptic number.

212468100 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 212468100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334082784).

212468100 is an abundant number, since it is smaller than the sum of its proper divisors (455697468).

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

212468100 is a wasteful number, since it uses less digits than its factorization.

212468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 212468100 is about 14576.2855350737. The cubic root of 212468100 is about 596.7117339879.

The spelling of 212468100 in words is "two hundred twelve million, four hundred sixty-eight thousand, one hundred".