1210210011200 has 84 divisors (see below), whose sum is σ = 2978095224900. Its totient is φ = 484047882240.

The previous prime is 1210210011173. The next prime is 1210210011209. The reversal of 1210210011200 is 21100120121.

It can be written as a sum of positive squares in 6 ways, for example, as 96830502976 + 1113379508224 = 311176^2 + 1055168^2 .

It is not an unprimeable number, because it can be changed into a prime (1210210011209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35011526 + ... + 35046074.

Almost surely, 2^{1210210011200} is an apocalyptic number.

1210210011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1210210011200 is an abundant number, since it is smaller than the sum of its proper divisors (1767885213700).

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

1210210011200 is a wasteful number, since it uses less digits than its factorization.

1210210011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56464 (or 56449 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1210210011200 its reverse (21100120121), we get a palindrome (1231310131321).

The spelling of 1210210011200 in words is "one trillion, two hundred ten billion, two hundred ten million, eleven thousand, two hundred".