120121123011030 has 128 divisors (see below), whose sum is σ = 320925988310400. Its totient is φ = 31972042801152.

The previous prime is 120121123011017. The next prime is 120121123011049. The reversal of 120121123011030 is 30110321121021.

120121123011030 is a `hidden beast` number, since 120 + 1 + 211 + 2 + 301 + 1 + 0 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 120121123010994 and 120121123011012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 408939094 + ... + 409232726.

It is an arithmetic number, because the mean of its divisors is an integer number (2507234283675).

Almost surely, 2^{120121123011030} is an apocalyptic number.

120121123011030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120121123011030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160462994155200).

120121123011030 is an abundant number, since it is smaller than the sum of its proper divisors (200804865299370).

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

120121123011030 is a wasteful number, since it uses less digits than its factorization.

120121123011030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296495 (or 296489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 120121123011030 its reverse (30110321121021), we get a palindrome (150231444132051).

The spelling of 120121123011030 in words is "one hundred twenty trillion, one hundred twenty-one billion, one hundred twenty-three million, eleven thousand, thirty".