120883541555200 has 288 divisors, whose sum is σ = 316813285152000. Its totient is φ = 45616744857600.

The previous prime is 120883541555129. The next prime is 120883541555201. The reversal of 120883541555200 is 2555145388021.

It is a happy number.

It is a super-3 number, since 3×120883541555200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120883541555201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232239235 + ... + 232759165.

It is an arithmetic number, because the mean of its divisors is an integer number (1100046129000).

Almost surely, 2^{120883541555200} is an apocalyptic number.

120883541555200 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 120883541555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158406642576000).

120883541555200 is an abundant number, since it is smaller than the sum of its proper divisors (195929743596800).

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

120883541555200 is a wasteful number, since it uses less digits than its factorization.

120883541555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520221 (or 520196 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 49.

The spelling of 120883541555200 in words is "one hundred twenty trillion, eight hundred eighty-three billion, five hundred forty-one million, five hundred fifty-five thousand, two hundred".