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120120210000 = 2432547190667
BaseRepresentation
bin110111111011110111…
…0001111001001010000
3102111001101100220121200
41233313232033021100
53432001233210000
6131103224551200
711451455636610
oct1576756171120
9374041326550
10120120210000
1146a407aa72a
121b344022500
13b434085a4b
145b572b8a40
1531d07ed500
hex1bf7b8f250

120120210000 has 300 divisors, whose sum is σ = 480091346592. Its totient is φ = 27455904000.

The previous prime is 120120209933. The next prime is 120120210013. The reversal of 120120210000 is 12021021.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 534667 + ... + 725333.

Almost surely, 2120120210000 is an apocalyptic number.

120120210000 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 120120210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240045673296).

120120210000 is an abundant number, since it is smaller than the sum of its proper divisors (359971136592).

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

120120210000 is a wasteful number, since it uses less digits than its factorization.

120120210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190708 (or 190684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120120210000 its reverse (12021021), we get a palindrome (120132231021).

The spelling of 120120210000 in words is "one hundred twenty billion, one hundred twenty million, two hundred ten thousand".