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120022021020 = 22351123291032647
BaseRepresentation
bin110111111000111011…
…1101011001110011100
3102110210112121101122210
41233301313223032130
53431301114133040
6131045400240420
711446154226426
oct1576167531634
9373715541583
10120022021020
11469a0335910
121b317170110
13b419927665
145b48239816
1531c6da5480
hex1bf1deb39c

120022021020 has 384 divisors, whose sum is σ = 399736995840. Its totient is φ = 26600555520.

The previous prime is 120022020953. The next prime is 120022021061. The reversal of 120022021020 is 20120220021.

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 = 120022020987 and 120022021005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45341337 + ... + 45343983.

It is an arithmetic number, because the mean of its divisors is an integer number (1040981760).

Almost surely, 2120022021020 is an apocalyptic number.

120022021020 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 120022021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199868497920).

120022021020 is an abundant number, since it is smaller than the sum of its proper divisors (279714974820).

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

120022021020 is a wasteful number, since it uses less digits than its factorization.

120022021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2823 counting only the distinct ones).

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

Adding to 120022021020 its reverse (20120220021), we get a palindrome (140142241041).

The spelling of 120022021020 in words is "one hundred twenty billion, twenty-two million, twenty-one thousand, twenty".