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120220021020 = 223511975473433
BaseRepresentation
bin110111111110110101…
…0111111000100011100
3102111022100011211121010
41233331222333010130
53432202311133040
6131121152135220
711454110214051
oct1577552770434
9374270154533
10120220021020
1146a92082180
121b371537510
13b44b961518
145b6665b028
1531d9466e80
hex1bfdabf11c

120220021020 has 192 divisors, whose sum is σ = 371789784576. Its totient is φ = 28782673920.

The previous prime is 120220020979. The next prime is 120220021069. The reversal of 120220021020 is 20120022021.

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 = 120220020987 and 120220021005.

It is a congruent number.

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, 35017224 + ... + 35020656.

It is an arithmetic number, because the mean of its divisors is an integer number (1936405128).

Almost surely, 2120220021020 is an apocalyptic number.

120220021020 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 120220021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185894892288).

120220021020 is an abundant number, since it is smaller than the sum of its proper divisors (251569763556).

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

120220021020 is a wasteful number, since it uses less digits than its factorization.

120220021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4098 counting only the distinct ones).

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

Adding to 120220021020 its reverse (20120022021), we get a palindrome (140340043041).

The spelling of 120220021020 in words is "one hundred twenty billion, two hundred twenty million, twenty-one thousand, twenty".