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2022000122000 = 24532414195021
BaseRepresentation
bin11101011011001000100…
…110010101100010010000
321011022010122221211210102
4131123020212111202100
5231112024012401000
64144521035551532
7266041022312315
oct35331046254220
97138118854712
102022000122000
1170a5863a00a1
12287a638bb5a8
1311889b429a41
146dc18662d0c
15378e46323d5
hex1d6c8995890

2022000122000 has 80 divisors (see below), whose sum is σ = 4909484586864. Its totient is φ = 805443840000.

The previous prime is 2022000121961. The next prime is 2022000122003. The reversal of 2022000122000 is 2210002202.

It can be written as a sum of positive squares in 8 ways, for example, as 37406654464 + 1984593467536 = 193408^2 + 1408756^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2022000122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1615511 + ... + 2579510.

Almost surely, 22022000122000 is an apocalyptic number.

2022000122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022000122000 is an abundant number, since it is smaller than the sum of its proper divisors (2887484464864).

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

2022000122000 is a wasteful number, since it uses less digits than its factorization.

2022000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195285 (or 4195269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

Adding to 2022000122000 its reverse (2210002202), we get a palindrome (2024210124202).

The spelling of 2022000122000 in words is "two trillion, twenty-two billion, one hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 241 250 400 482 500 964 1000 1205 1928 2000 2410 3856 4820 6025 9640 12050 19280 24100 30125 48200 60250 96400 120500 241000 482000 4195021 8390042 16780084 20975105 33560168 41950210 67120336 83900420 104875525 167800840 209751050 335601680 419502100 524377625 839004200 1011000061 1048755250 1678008400 2022000122 2097510500 4044000244 4195021000 5055000305 8088000488 8390042000 10110000610 16176000976 20220001220 25275001525 40440002440 50550003050 80880004880 101100006100 126375007625 202200012200 252750015250 404400024400 505500030500 1011000061000 2022000122000