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20221020120 = 23357279101431
BaseRepresentation
bin10010110101010001…
…000100011111011000
31221012020102020212010
4102311101010133120
5312403040120440
613142302345520
71314044556300
oct226521043730
957166366763
1020221020120
118637269784
123b03b8b2a0
131ba3411782
14d9b7ba600
157d5378580
hex4b54447d8

20221020120 has 384 divisors, whose sum is σ = 72335462400. Its totient is φ = 4507776000.

The previous prime is 20221020077. The next prime is 20221020139. The reversal of 20221020120 is 2102012202.

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 = 20221020096 and 20221020105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46916305 + ... + 46916735.

It is an arithmetic number, because the mean of its divisors is an integer number (188373600).

Almost surely, 220221020120 is an apocalyptic number.

20221020120 is a gapful number since it is divisible by the number (20) 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 20221020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36167731200).

20221020120 is an abundant number, since it is smaller than the sum of its proper divisors (52114442280).

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

20221020120 is a wasteful number, since it uses less digits than its factorization.

20221020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 628 counting only the distinct ones).

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

Adding to 20221020120 its reverse (2102012202), we get a palindrome (22323032322).

The spelling of 20221020120 in words is "twenty billion, two hundred twenty-one million, twenty thousand, one hundred twenty".