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120412303020 = 2232529101353647
BaseRepresentation
bin111000000100100100…
…0011110111010101100
3102111210201222202220200
41300021020132322230
53433101022144040
6131152221313500
711461633455012
oct1601110367254
9374721882820
10120412303020
1147080673519
121b405a05890
13b47c745859
145b83dd08b2
1531eb299630
hex1c0921eeac

120412303020 has 288 divisors, whose sum is σ = 383258977920. Its totient is φ = 30561484800.

The previous prime is 120412303003. The next prime is 120412303057. The reversal of 120412303020 is 20303214021.

It is a super-2 number, since 2×1204123030202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120412302984 and 120412303002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 186108337 + ... + 186108983.

It is an arithmetic number, because the mean of its divisors is an integer number (1330760340).

Almost surely, 2120412303020 is an apocalyptic number.

120412303020 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 120412303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191629488960).

120412303020 is an abundant number, since it is smaller than the sum of its proper divisors (262846674900).

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

120412303020 is a wasteful number, since it uses less digits than its factorization.

120412303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 120412303020 its reverse (20303214021), we get a palindrome (140715517041).

The spelling of 120412303020 in words is "one hundred twenty billion, four hundred twelve million, three hundred three thousand, twenty".