120021133110 has 192 divisors, whose sum is σ = 304457094144. Its totient is φ = 30261081600.

The previous prime is 120021133081. The next prime is 120021133121. The reversal of 120021133110 is 11331120021.

It is a happy number.

It is a super-3 number, since 3×120021133110³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120021133110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 442882275 + ... + 442882545.

It is an arithmetic number, because the mean of its divisors is an integer number (1585714032).

Almost surely, 2^120021133110 is an apocalyptic number.

120021133110 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 120021133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152228547072).

120021133110 is an abundant number, since it is smaller than the sum of its proper divisors (184435961034).

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

120021133110 is a wasteful number, since it uses less digits than its factorization.

120021133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 120021133110 its reverse (11331120021), we get a palindrome (131352253131).

It can be divided in two parts, 1200211 and 33110, that added together give a palindrome (1233321).

The spelling of 120021133110 in words is "one hundred twenty billion, twenty-one million, one hundred thirty-three thousand, one hundred ten".