120111001000020 has 144 divisors (see below), whose sum is σ = 383698241821440. Its totient is φ = 30329121454848.

The previous prime is 120111000999961. The next prime is 120111001000031. The reversal of 120111001000020 is 20000100111021.

It is a happy number.

It is a super-2 number, since 2×120111001000020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 120111000999966 and 120111001000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1456459 + ... + 15567378.

It is an arithmetic number, because the mean of its divisors is an integer number (2664571123760).

Almost surely, 2^{120111001000020} is an apocalyptic number.

120111001000020 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 120111001000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191849120910720).

120111001000020 is an abundant number, since it is smaller than the sum of its proper divisors (263587240821420).

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

120111001000020 is a wasteful number, since it uses less digits than its factorization.

120111001000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17025934 (or 17025929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120111001000020 its reverse (20000100111021), we get a palindrome (140111101111041).

The spelling of 120111001000020 in words is "one hundred twenty trillion, one hundred eleven billion, one million, twenty", and thus it is an aban number.