1201202112000 has 320 divisors, whose sum is σ = 4356767720448. Its totient is φ = 291200000000.

The previous prime is 1201202111999. The next prime is 1201202112053. The reversal of 1201202112000 is 2112021021.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1827625 + ... + 2396375.

Almost surely, 2^{1201202112000} is an apocalyptic number.

1201202112000 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 1201202112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178383860224).

1201202112000 is an abundant number, since it is smaller than the sum of its proper divisors (3155565608448).

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

1201202112000 is an equidigital number, since it uses as much as digits as its factorization.

1201202112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568798 (or 568772 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1201202112000 its reverse (2112021021), we get a palindrome (1203314133021).

The spelling of 1201202112000 in words is "one trillion, two hundred one billion, two hundred two million, one hundred twelve thousand".