Search a number
120022020000120 = 233573118772455589

120022020000120 has 256 divisors, whose sum is σ = 425004873523200. Its totient is φ = 26534494586880.

The previous prime is 120022020000073. The next prime is 120022020000167. The reversal of 120022020000120 is 21000020220021.

Adding to 120022020000120 its reverse (21000020220021), we get a palindrome (141022040220141).

120022020000120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120022020000073) and next prime (120022020000167).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120022020000096 and 120022020000105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47649286 + ... + 50104874.

It is an arithmetic number, because the mean of its divisors is an integer number (1660175287200).

Almost surely, 2120022020000120 is an apocalyptic number.

120022020000120 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 120022020000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212502436761600).

120022020000120 is an abundant number, since it is smaller than the sum of its proper divisors (304982853523080).

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

120022020000120 is a wasteful number, since it uses less digits than its factorization.

120022020000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2457518 (or 2457514 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The spelling of 120022020000120 in words is "one hundred twenty trillion, twenty-two billion, twenty million, one hundred twenty", and thus it is an aban number.