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120442022340 = 223547179269887
BaseRepresentation
bin111000000101011100…
…1110110100111000100
3102111212210220200011020
41300022321312213010
53433131124203330
6131155202311140
711462444204163
oct1601271664704
9374783820136
10120442022340
1147096422042
121b4139584b0
13b48594cb53
145b87d293da
1531edbba210
hex1c0ae769c4

120442022340 has 192 divisors, whose sum is σ = 348016435200. Its totient is φ = 31107587584.

The previous prime is 120442022329. The next prime is 120442022357. The reversal of 120442022340 is 43220244021.

120442022340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 120442022340.

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, 135785377 + ... + 135786263.

It is an arithmetic number, because the mean of its divisors is an integer number (1812585600).

Almost surely, 2120442022340 is an apocalyptic number.

120442022340 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 120442022340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174008217600).

120442022340 is an abundant number, since it is smaller than the sum of its proper divisors (227574412860).

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

120442022340 is a wasteful number, since it uses less digits than its factorization.

120442022340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 120442022340 its reverse (43220244021), we get a palindrome (163662266361).

The spelling of 120442022340 in words is "one hundred twenty billion, four hundred forty-two million, twenty-two thousand, three hundred forty".