1210122120200 has 144 divisors (see below), whose sum is σ = 3302915804100. Its totient is φ = 411092236800.

The previous prime is 1210122120199. The next prime is 1210122120211. The reversal of 1210122120200 is 20212210121.

It can be written as a sum of positive squares in 6 ways, for example, as 311080600516 + 899041519684 = 557746^2 + 948178^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 501770 + ... + 1634630.

Almost surely, 2^{1210122120200} is an apocalyptic number.

1210122120200 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 1210122120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651457902050).

1210122120200 is an abundant number, since it is smaller than the sum of its proper divisors (2092793683900).

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

1210122120200 is a wasteful number, since it uses less digits than its factorization.

1210122120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133000 (or 1132984 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1210122120200 its reverse (20212210121), we get a palindrome (1230334330321).

The spelling of 1210122120200 in words is "one trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".