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2122107060020 = 2251783281267611
BaseRepresentation
bin11110111000010111011…
…011111111111100110100
321111212112021211012102112
4132320113123333330310
5234232033401410040
64302514343030152
7306213535250423
oct36702733777464
97455467735375
102122107060020
11748a87126322
122a334143b358
1312516313bbcc
14749d399d2ba
153a302e42365
hex1ee176fff34

2122107060020 has 96 divisors (see below), whose sum is σ = 4792429950336. Its totient is φ = 786473676800.

The previous prime is 2122107060019. The next prime is 2122107060023. The reversal of 2122107060020 is 200607012212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122107060023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7796015 + ... + 8063625.

It is an arithmetic number, because the mean of its divisors is an integer number (49921145316).

Almost surely, 22122107060020 is an apocalyptic number.

2122107060020 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 2122107060020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2396214975168).

2122107060020 is an abundant number, since it is smaller than the sum of its proper divisors (2670322890316).

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

2122107060020 is a wasteful number, since it uses less digits than its factorization.

2122107060020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268001 (or 267999 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 2122107060020 in words is "two trillion, one hundred twenty-two billion, one hundred seven million, sixty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 83 85 166 170 281 332 340 415 562 830 1124 1405 1411 1660 2810 2822 4777 5620 5644 7055 9554 14110 19108 23323 23885 28220 46646 47770 93292 95540 116615 233230 267611 396491 466460 535222 792982 1070444 1338055 1585964 1982455 2676110 3964910 4549387 5352220 7929820 9098774 18197548 22211713 22746935 44423426 45493870 75198691 88846852 90987740 111058565 150397382 222117130 300794764 375993455 377599121 444234260 751986910 755198242 1278377747 1503973820 1510396484 1887995605 2556755494 3775991210 5113510988 6241491353 6391888735 7551982420 12482982706 12783777470 24965965412 25567554940 31207456765 62414913530 106105353001 124829827060 212210706002 424421412004 530526765005 1061053530010 2122107060020