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120220220120 = 235721113538093
BaseRepresentation
bin110111111110110101…
…1101111101011011000
3102111022100112221201012
41233331223233223120
53432202334020440
6131121200313052
711454112003400
oct1577553575330
9374270487635
10120220220120
1146a921a8820
121b371612788
13b44ba01030
145b666ad800
1531d94a5e65
hex1bfdaefad8

120220220120 has 384 divisors, whose sum is σ = 376689579840. Its totient is φ = 33932021760.

The previous prime is 120220220059. The next prime is 120220220137. The reversal of 120220220120 is 21022022021.

It is a super-3 number, since 3×1202202201203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120220220095 and 120220220104.

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, 14850794 + ... + 14858886.

Almost surely, 2120220220120 is an apocalyptic number.

120220220120 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 120220220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188344789920).

120220220120 is an abundant number, since it is smaller than the sum of its proper divisors (256469359720).

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

120220220120 is a wasteful number, since it uses less digits than its factorization.

120220220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8195 (or 8184 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 120220220120 its reverse (21022022021), we get a palindrome (141242242141).

The spelling of 120220220120 in words is "one hundred twenty billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty".