120021121355040 has 144 divisors (see below), whose sum is σ = 410117449262976. Its totient is φ = 31963014720000.

The previous prime is 120021121355011. The next prime is 120021121355041. The reversal of 120021121355040 is 40553121120021.

It is a happy number.

120021121355040 is a `hidden beast` number, since 1 + 2 + 0 + 0 + 2 + 1 + 121 + 35 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 120021121354995 and 120021121355013.

It is not an unprimeable number, because it can be changed into a prime (120021121355041) 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, 54409906 + ... + 56572785.

It is an arithmetic number, because the mean of its divisors is an integer number (2848037842104).

Almost surely, 2^{120021121355040} is an apocalyptic number.

120021121355040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120021121355040 is an abundant number, since it is smaller than the sum of its proper divisors (290096327907936).

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

120021121355040 is a wasteful number, since it uses less digits than its factorization.

120021121355040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110983463 (or 110983452 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 120021121355040 its reverse (40553121120021), we get a palindrome (160574242475061).

The spelling of 120021121355040 in words is "one hundred twenty trillion, twenty-one billion, one hundred twenty-one million, three hundred fifty-five thousand, forty".