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2122001020000 = 2554229463319
BaseRepresentation
bin11110111000010001000…
…111011111010001100000
321111212020220021210212101
4132320101013133101200
5234231324230120000
64302500034140144
7306211110031021
oct36702107372140
97455226253771
102122001020000
11748a32289944
122a3311a21654
13125147192134
14749c3878c48
153a2e8997e6a
hex1ee111df460

2122001020000 has 120 divisors (see below), whose sum is σ = 5243248810800. Its totient is φ = 845092032000.

The previous prime is 2122001019991. The next prime is 2122001020019. The reversal of 2122001020000 is 201002212.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4348341 + ... + 4811659.

It is an arithmetic number, because the mean of its divisors is an integer number (43693740090).

Almost surely, 22122001020000 is an apocalyptic number.

2122001020000 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 2122001020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621624405400).

2122001020000 is an abundant number, since it is smaller than the sum of its proper divisors (3121247790800).

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

2122001020000 is an equidigital number, since it uses as much as digits as its factorization.

2122001020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463578 (or 463555 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2122001020000 its reverse (201002212), we get a palindrome (2122202022212).

The spelling of 2122001020000 in words is "two trillion, one hundred twenty-two billion, one million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 229 250 400 458 500 625 800 916 1000 1145 1250 1832 2000 2290 2500 3664 4000 4580 5000 5725 7328 9160 10000 11450 18320 20000 22900 28625 36640 45800 57250 91600 114500 143125 183200 229000 286250 458000 463319 572500 916000 926638 1145000 1853276 2290000 2316595 3706552 4580000 4633190 7413104 9266380 11582975 14826208 18532760 23165950 37065520 46331900 57914875 74131040 92663800 106100051 115829750 185327600 212200102 231659500 289574375 370655200 424400204 463319000 530500255 579148750 848800408 926638000 1061000510 1158297500 1697600816 1853276000 2122001020 2316595000 2652501275 3395201632 4244002040 4633190000 5305002550 8488004080 9266380000 10610005100 13262506375 16976008160 21220010200 26525012750 42440020400 53050025500 66312531875 84880040800 106100051000 132625063750 212200102000 265250127500 424400204000 530500255000 1061000510000 2122001020000