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20220102120120 = 23357313280327437
BaseRepresentation
bin1001001100011110111000…
…00000010001001010111000
32122121000121200102200212120
410212033130000101022320
510122241232120320440
6111000553042241240
74154565660125040
oct446173400211270
978530550380776
1020220102120120
11649632a567651
12232695b356220
13b389941b4336
144dc930008720
15250e87ee8dd0
hex1263dc0112b8

20220102120120 has 256 divisors, whose sum is σ = 69574900976640. Its totient is φ = 4605160255488.

The previous prime is 20220102120109. The next prime is 20220102120137. The reversal of 20220102120120 is 2102120102202.

It is a super-3 number, since 3×202201021201203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20220102120120.

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, 736951042 + ... + 736978478.

It is an arithmetic number, because the mean of its divisors is an integer number (271776956940).

Almost surely, 220220102120120 is an apocalyptic number.

20220102120120 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 20220102120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34787450488320).

20220102120120 is an abundant number, since it is smaller than the sum of its proper divisors (49354798856520).

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

20220102120120 is a wasteful number, since it uses less digits than its factorization.

20220102120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30574 (or 30570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20220102120120 its reverse (2102120102202), we get a palindrome (22322222222322).

The spelling of 20220102120120 in words is "twenty trillion, two hundred twenty billion, one hundred two million, one hundred twenty thousand, one hundred twenty".