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20220102121000 = 235392921765449
BaseRepresentation
bin1001001100011110111000…
…00000010001011000101000
32122121000121200102202002011
410212033130000101120220
510122241232120333000
6111000553042245304
74154565660130435
oct446173400213050
978530550382064
1020220102121000
11649632a568281
12232695b356834
13b389941b4862
144dc930008b8c
15250e87ee92ba
hex1263dc011628

20220102121000 has 64 divisors (see below), whose sum is σ = 47365972290000. Its totient is φ = 8079334297600.

The previous prime is 20220102120979. The next prime is 20220102121003. The reversal of 20220102121000 is 12120102202.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 117307620004 + 20102794500996 = 342502^2 + 4483614^2 .

It is not an unprimeable number, because it can be changed into a prime (20220102121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9953725 + ... + 11811724.

Almost surely, 220220102121000 is an apocalyptic number.

20220102121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220102121000 is an abundant number, since it is smaller than the sum of its proper divisors (27145870169000).

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

20220102121000 is a wasteful number, since it uses less digits than its factorization.

20220102121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21766399 (or 21766385 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20220102121000 its reverse (12120102202), we get a palindrome (20232222223202).

The spelling of 20220102121000 in words is "twenty trillion, two hundred twenty billion, one hundred two million, one hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 929 1000 1858 3716 4645 7432 9290 18580 23225 37160 46450 92900 116125 185800 232250 464500 929000 21765449 43530898 87061796 108827245 174123592 217654490 435308980 544136225 870617960 1088272450 2176544900 2720681125 4353089800 5441362250 10882724500 20220102121 21765449000 40440204242 80880408484 101100510605 161760816968 202201021210 404402042420 505502553025 808804084840 1011005106050 2022010212100 2527512765125 4044020424200 5055025530250 10110051060500 20220102121000