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2122120020020 = 22571113106000001
BaseRepresentation
bin11110111000011000001…
…101011100000000110100
321111212120012012122012112
4132320120031130000310
5234232100211120040
64302515524510152
7306214053355610
oct36703015340064
97455505178175
102122120020020
11748a93478370
122a334584b358
13125165a28b50
14749d55b4340
153a304152365
hex1ee1835c034

2122120020020 has 96 divisors (see below), whose sum is σ = 5983488112896. Its totient is φ = 610560000000.

The previous prime is 2122120020019. The next prime is 2122120020029. The reversal of 2122120020020 is 200200212212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2122120019977 and 2122120020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122120020029) 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, 52979981 + ... + 53020020.

It is an arithmetic number, because the mean of its divisors is an integer number (62328001176).

Almost surely, 22122120020020 is an apocalyptic number.

2122120020020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122120020020 is an abundant number, since it is smaller than the sum of its proper divisors (3861368092876).

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

2122120020020 is a wasteful number, since it uses less digits than its factorization.

2122120020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106000041 (or 106000039 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2122120020020 its reverse (200200212212), we get a palindrome (2322320232232).

The spelling of 2122120020020 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, twenty thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 106000001 212000002 424000004 530000005 742000007 1060000010 1166000011 1378000013 1484000014 2120000020 2332000022 2756000026 2968000028 3710000035 4664000044 5512000052 5830000055 6890000065 7420000070 8162000077 9646000091 11660000110 13780000130 14840000140 15158000143 16324000154 19292000182 23320000220 27560000260 30316000286 32648000308 38584000364 40810000385 48230000455 60632000572 75790000715 81620000770 96460000910 106106001001 151580001430 163240001540 192920001820 212212002002 303160002860 424424004004 530530005005 1061060010010 2122120020020