212164126000 has 40 divisors (see below), whose sum is σ = 513012861504. Its totient is φ = 84865649600.

The previous prime is 212164125997. The next prime is 212164126003. The reversal of 212164126000 is 621461212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (212164125997) and next prime (212164126003).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×212164126000² (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 not an unprimeable number, because it can be changed into a prime (212164126003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53039032 + ... + 53043031.

Almost surely, 2^212164126000 is an apocalyptic number.

212164126000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212164126000 is an abundant number, since it is smaller than the sum of its proper divisors (300848735504).

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

212164126000 is a wasteful number, since it uses less digits than its factorization.

212164126000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106082086 (or 106082070 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 212164126000 its reverse (621461212), we get a palindrome (212785587212).

The spelling of 212164126000 in words is "two hundred twelve billion, one hundred sixty-four million, one hundred twenty-six thousand".