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2022122202120 = 2332533119338779
BaseRepresentation
bin11101011011001111111…
…000000010010000001000
321011022110011200011020100
4131123033320002100020
5231112301240431440
64144541120325400
7266044034056116
oct35331770022010
97138404604210
102022122202120
1170a6392a2759
12287a98773860
131188ba8016b7
146dc2a960ab6
15379001e9230
hex1d6cfe02408

2022122202120 has 192 divisors, whose sum is σ = 6595913188800. Its totient is φ = 537264161280.

The previous prime is 2022122202101. The next prime is 2022122202131. The reversal of 2022122202120 is 212022212202.

2022122202120 is a `hidden beast` number, since 20 + 2 + 212 + 220 + 212 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2022122202093 and 2022122202102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 230331891 + ... + 230340669.

It is an arithmetic number, because the mean of its divisors is an integer number (34353714525).

Almost surely, 22022122202120 is an apocalyptic number.

2022122202120 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 2022122202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297956594400).

2022122202120 is an abundant number, since it is smaller than the sum of its proper divisors (4573790986680).

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

2022122202120 is a wasteful number, since it uses less digits than its factorization.

2022122202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060 (or 11053 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 2022122202120 its reverse (212022212202), we get a palindrome (2234144414322).

The spelling of 2022122202120 in words is "two trillion, twenty-two billion, one hundred twenty-two million, two hundred two thousand, one hundred twenty".