120202211212200 has 1152 divisors, whose sum is σ = 479062839265920. Its totient is φ = 27747953049600.

The previous prime is 120202211212073. The next prime is 120202211212219. The reversal of 120202211212200 is 2212112202021.

It is a happy number.

120202211212200 is a `hidden beast` number, since 1 + 20 + 20 + 2 + 211 + 212 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3018088687 + ... + 3018128513.

It is an arithmetic number, because the mean of its divisors is an integer number (415853159085).

Almost surely, 2^{120202211212200} is an apocalyptic number.

120202211212200 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 120202211212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239531419632960).

120202211212200 is an abundant number, since it is smaller than the sum of its proper divisors (358860628053720).

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

120202211212200 is a wasteful number, since it uses less digits than its factorization.

120202211212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40169 (or 40148 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 120202211212200 its reverse (2212112202021), we get a palindrome (122414323414221).

The spelling of 120202211212200 in words is "one hundred twenty trillion, two hundred two billion, two hundred eleven million, two hundred twelve thousand, two hundred".