1210726108900 has 243 divisors, whose sum is σ = 3361667142267. Its totient is φ = 377105097600.

The previous prime is 1210726108883. The next prime is 1210726108931. The reversal of 1210726108900 is 98016270121.

The square root of 1210726108900 is 1100330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 460603827684 + 750122281216 = 678678^2 + 866096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1210726108900.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 847253386 + ... + 847254814.

Almost surely, 2^{1210726108900} is an apocalyptic number.

1210726108900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1210726108900 is the 1100330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1210726108900

1210726108900 is an abundant number, since it is smaller than the sum of its proper divisors (2150941033367).

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

1210726108900 is a wasteful number, since it uses less digits than its factorization.

1210726108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2908 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 37.

The spelling of 1210726108900 in words is "one trillion, two hundred ten billion, seven hundred twenty-six million, one hundred eight thousand, nine hundred".