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120122213100 = 223523123711261
BaseRepresentation
bin110111111011111010…
…1111000001011101100
3102111001112010200100120
41233313311320023230
53432002241304400
6131103335524540
711451511651551
oct1576765701354
9374045120316
10120122213100
1146a4194868a
121b344829750
13b434607706
145b5767aa28
1531d0a96ca0
hex1bf7d782ec

120122213100 has 216 divisors, whose sum is σ = 368865547344. Its totient is φ = 30158784000.

The previous prime is 120122213023. The next prime is 120122213153. The reversal of 120122213100 is 1312221021.

It is a super-2 number, since 2×1201222131002 (a number of 23 digits) contains 22 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 120122213100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10661470 + ... + 10672730.

Almost surely, 2120122213100 is an apocalyptic number.

120122213100 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 120122213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184432773672).

120122213100 is an abundant number, since it is smaller than the sum of its proper divisors (248743334244).

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

120122213100 is a wasteful number, since it uses less digits than its factorization.

120122213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11339 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 120122213100 its reverse (1312221021), we get a palindrome (121434434121).

The spelling of 120122213100 in words is "one hundred twenty billion, one hundred twenty-two million, two hundred thirteen thousand, one hundred".