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120200021220 = 2235471011273323
BaseRepresentation
bin110111111110001111…
…0101100010011100100
3102111020221112202000210
41233330132230103210
53432132201134340
6131115155335420
711453445215436
oct1577436542344
9374227482023
10120200021220
1146a81862014
121b3668b1570
13b44777b216
145b63b32656
1531d7816180
hex1bfc7ac4e4

120200021220 has 192 divisors, whose sum is σ = 349962633216. Its totient is φ = 30806899200.

The previous prime is 120200021213. The next prime is 120200021273. The reversal of 120200021220 is 22120002021.

120200021220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 120200021196 and 120200021205.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36170479 + ... + 36173801.

It is an arithmetic number, because the mean of its divisors is an integer number (1822722048).

Almost surely, 2120200021220 is an apocalyptic number.

120200021220 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 120200021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174981316608).

120200021220 is an abundant number, since it is smaller than the sum of its proper divisors (229762611996).

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

120200021220 is a wasteful number, since it uses less digits than its factorization.

120200021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 120200021220 its reverse (22120002021), we get a palindrome (142320023241).

The spelling of 120200021220 in words is "one hundred twenty billion, two hundred million, twenty-one thousand, two hundred twenty".