201202123200000 has 960 divisors, whose sum is σ = 752887996084224. Its totient is φ = 47373004800000.

The previous prime is 201202123199939. The next prime is 201202123200031. The reversal of 201202123200000 is 2321202102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1435129905 + ... + 1435270095.

Almost surely, 2^{201202123200000} is an apocalyptic number.

201202123200000 is a gapful number since it is divisible by the number (20) 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 201202123200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376443998042112).

201202123200000 is an abundant number, since it is smaller than the sum of its proper divisors (551685872884224).

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

201202123200000 is an equidigital number, since it uses as much as digits as its factorization.

201202123200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140273 (or 140237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 201202123200000 its reverse (2321202102), we get a palindrome (201204444402102).

The spelling of 201202123200000 in words is "two hundred one trillion, two hundred two billion, one hundred twenty-three million, two hundred thousand".