212001121000 has 64 divisors (see below), whose sum is σ = 500994570960. Its totient is φ = 83960800000.

The previous prime is 212001120971. The next prime is 212001121021. The reversal of 212001121000 is 121100212.

It can be written as a sum of positive squares in 8 ways, for example, as 39973604356 + 172027516644 = 199934^2 + 414762^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948511 + ... + 1150510.

Almost surely, 2^212001121000 is an apocalyptic number.

212001121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212001121000 is an abundant number, since it is smaller than the sum of its proper divisors (288993449960).

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

212001121000 is a wasteful number, since it uses less digits than its factorization.

212001121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099143 (or 2099129 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212001121000 its reverse (121100212), we get a palindrome (212122221212).

The spelling of 212001121000 in words is "two hundred twelve billion, one million, one hundred twenty-one thousand".