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120020221020 = 223571016474373
BaseRepresentation
bin110111111000111000…
…0110011110001011100
3102110210102012221112010
41233301300303301130
53431300134033040
6131045253511220
711446133021550
oct1576160636134
9373712187463
10120020221020
114699a316507
121b316642510
13b41944727b
145b47ccb860
1531c6b4be80
hex1bf1c33c5c

120020221020 has 192 divisors, whose sum is σ = 388555646976. Its totient is φ = 27113395200.

The previous prime is 120020220941. The next prime is 120020221031. The reversal of 120020221020 is 20122020021.

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 = 120020220987 and 120020221005.

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, 27443554 + ... + 27447926.

It is an arithmetic number, because the mean of its divisors is an integer number (2023727328).

Almost surely, 2120020221020 is an apocalyptic number.

120020221020 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 120020221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194277823488).

120020221020 is an abundant number, since it is smaller than the sum of its proper divisors (268535425956).

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

120020221020 is a wasteful number, since it uses less digits than its factorization.

120020221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5138 counting only the distinct ones).

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

Adding to 120020221020 its reverse (20122020021), we get a palindrome (140142241041).

The spelling of 120020221020 in words is "one hundred twenty billion, twenty million, two hundred twenty-one thousand, twenty".