1200332112100 has 432 divisors, whose sum is σ = 3223613925504. Its totient is φ = 385452953600.

The previous prime is 1200332112097. The next prime is 1200332112107. The reversal of 1200332112100 is 12112330021.

It is not an unprimeable number, because it can be changed into a prime (1200332112107) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250745907 + ... + 250750693.

It is an arithmetic number, because the mean of its divisors is an integer number (7462069272).

Almost surely, 2^{1200332112100} is an apocalyptic number.

1200332112100 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 1200332112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611806962752).

1200332112100 is an abundant number, since it is smaller than the sum of its proper divisors (2023281813404).

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

1200332112100 is a wasteful number, since it uses less digits than its factorization.

1200332112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4916 (or 4898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1200332112100 its reverse (12112330021), we get a palindrome (1212444442121).

The spelling of 1200332112100 in words is "one trillion, two hundred billion, three hundred thirty-two million, one hundred twelve thousand, one hundred".