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2022001112000 = 2653409617971
BaseRepresentation
bin11101011011001000101…
…010000111001111000000
321011022010201211010211002
4131123020222013033000
5231112024241041000
64144521113111132
7266041033604522
oct35331052071700
97138121733732
102022001112000
1170a586a06981
12287a640b84a8
1311889b6b553c
146dc1883da12
15378e477a8d5
hex1d6c8a873c0

2022001112000 has 112 divisors (see below), whose sum is σ = 5019737118240. Its totient is φ = 806821632000.

The previous prime is 2022001111997. The next prime is 2022001112029. The reversal of 2022001112000 is 2111002202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2963015 + ... + 3580985.

Almost surely, 22022001112000 is an apocalyptic number.

2022001112000 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 2022001112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509868559120).

2022001112000 is an abundant number, since it is smaller than the sum of its proper divisors (2997736006240).

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

2022001112000 is an equidigital number, since it uses as much as digits as its factorization.

2022001112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618407 (or 618387 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2022001112000 its reverse (2111002202), we get a palindrome (2024112114202).

The spelling of 2022001112000 in words is "two trillion, twenty-two billion, one million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 409 500 800 818 1000 1600 1636 2000 2045 3272 4000 4090 6544 8000 8180 10225 13088 16360 20450 26176 32720 40900 51125 65440 81800 102250 130880 163600 204500 327200 409000 617971 654400 818000 1235942 1636000 2471884 3089855 3272000 4943768 6179710 9887536 12359420 15449275 19775072 24718840 30898550 39550144 49437680 61797100 77246375 98875360 123594200 154492750 197750720 247188400 252750139 308985500 494376800 505500278 617971000 988753600 1011000556 1235942000 1263750695 2022001112 2471884000 2527501390 4044002224 4943768000 5055002780 6318753475 8088004448 10110005560 12637506950 16176008896 20220011120 25275013900 31593767375 40440022240 50550027800 63187534750 80880044480 101100055600 126375069500 202200111200 252750139000 404400222400 505500278000 1011000556000 2022001112000