1200110210000 has 200 divisors, whose sum is σ = 3145044344904. Its totient is φ = 440858880000.

The previous prime is 1200110209993. The next prime is 1200110210051. The reversal of 1200110210000 is 120110021.

It can be written as a sum of positive squares in 20 ways, for example, as 1162273735744 + 37836474256 = 1078088^2 + 194516^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×1200110210000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 1200110210000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 25586570 + ... + 25633430.

Almost surely, 2^{1200110210000} is an apocalyptic number.

1200110210000 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 1200110210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572522172452).

1200110210000 is an abundant number, since it is smaller than the sum of its proper divisors (1944934134904).

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

1200110210000 is a wasteful number, since it uses less digits than its factorization.

1200110210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47099 (or 47078 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1200110210000 its reverse (120110021), we get a palindrome (1200230320021).

The spelling of 1200110210000 in words is "one trillion, two hundred billion, one hundred ten million, two hundred ten thousand".