201123202200000 has 672 divisors, whose sum is σ = 717545619016128. Its totient is φ = 49525432320000.

The previous prime is 201123202199987. The next prime is 201123202200013. The reversal of 201123202200000 is 2202321102.

It is a happy number.

201123202200000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201123202199987) and next prime (201123202200013).

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, 540413982 + ... + 540786018.

It is an arithmetic number, because the mean of its divisors is an integer number (1067776218774).

Almost surely, 2^{201123202200000} is an apocalyptic number.

201123202200000 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 201123202200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358772809508064).

201123202200000 is an abundant number, since it is smaller than the sum of its proper divisors (516422416816128).

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

201123202200000 is an equidigital number, since it uses as much as digits as its factorization.

201123202200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372147 (or 372117 counting only the distinct ones).

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

Adding to 201123202200000 its reverse (2202321102), we get a palindrome (201125404521102).

The spelling of 201123202200000 in words is "two hundred one trillion, one hundred twenty-three billion, two hundred two million, two hundred thousand".