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120311200020 = 223511232509677
BaseRepresentation
bin111000000001100011…
…0110011100100010100
3102111112200202012200010
41300003012303210110
53432344131400040
6131134210320220
711456265220044
oct1600306634424
9374480665603
10120311200020
1147029599320
121b397b89070
13b464806cab
145b747d3724
1531e2477e80
hex1c031b3914

120311200020 has 288 divisors, whose sum is σ = 385492141440. Its totient is φ = 27802311680.

The previous prime is 120311200013. The next prime is 120311200027. The reversal of 120311200020 is 20002113021.

It is an interprime number because it is at equal distance from previous prime (120311200013) and next prime (120311200027).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 120311199969 and 120311200005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120311200027) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 177711922 + ... + 177712598.

It is an arithmetic number, because the mean of its divisors is an integer number (1338514380).

Almost surely, 2120311200020 is an apocalyptic number.

120311200020 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 120311200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192746070720).

120311200020 is an abundant number, since it is smaller than the sum of its proper divisors (265180941420).

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

120311200020 is a wasteful number, since it uses less digits than its factorization.

120311200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 120311200020 its reverse (20002113021), we get a palindrome (140313313041).

The spelling of 120311200020 in words is "one hundred twenty billion, three hundred eleven million, two hundred thousand, twenty".