1210212000 has 144 divisors (see below), whose sum is σ = 4295170152. Its totient is φ = 322713600.

The previous prime is 1210211941. The next prime is 1210212023. The reversal of 1210212000 is 2120121.

It can be written as a sum of positive squares in 4 ways, for example, as 151880976 + 1058331024 = 12324^2 + 32532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1210212000² = 2929226169888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19192 + ... + 52808.

Almost surely, 2^1210212000 is an apocalyptic number.

1210212000 is a gapful number since it is divisible by the number (10) 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 1210212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147585076).

1210212000 is an abundant number, since it is smaller than the sum of its proper divisors (3084958152).

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

1210212000 is a wasteful number, since it uses less digits than its factorization.

1210212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33648 (or 33627 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1210212000 is about 34788.1014141330. The cubic root of 1210212000 is about 1065.6644666515.

Adding to 1210212000 its reverse (2120121), we get a palindrome (1212332121).

The spelling of 1210212000 in words is "one billion, two hundred ten million, two hundred twelve thousand".