120124214410200 has 1152 divisors, whose sum is σ = 510263403552000. Its totient is φ = 22979709849600.

The previous prime is 120124214410147. The next prime is 120124214410231. The reversal of 120124214410200 is 2014412421021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1593354106 + ... + 1593429494.

It is an arithmetic number, because the mean of its divisors is an integer number (442936982250).

Almost surely, 2^{120124214410200} is an apocalyptic number.

120124214410200 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 120124214410200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255131701776000).

120124214410200 is an abundant number, since it is smaller than the sum of its proper divisors (390139189141800).

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

120124214410200 is a wasteful number, since it uses less digits than its factorization.

120124214410200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75825 (or 75809 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 120124214410200 its reverse (2014412421021), we get a palindrome (122138626831221).

The spelling of 120124214410200 in words is "one hundred twenty trillion, one hundred twenty-four billion, two hundred fourteen million, four hundred ten thousand, two hundred".