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2122020200120 = 2353147182319973
BaseRepresentation
bin11110111000010010010…
…000101001111010111000
321111212022020101021001012
4132320102100221322320
5234231344132400440
64302502001213052
7306211432043522
oct36702220517270
97455266337035
102122020200120
11748a4209a187
122a3318331188
1312514b149312
14749c622ca12
153a2ea4d5e65
hex1ee12429eb8

2122020200120 has 128 divisors (see below), whose sum is σ = 5036439306240. Its totient is φ = 803468766720.

The previous prime is 2122020200093. The next prime is 2122020200123. The reversal of 2122020200120 is 210020202212.

It is a junction number, because it is equal to n+sod(n) for n = 2122020200095 and 2122020200104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122020200123) 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, 106234454 + ... + 106254426.

It is an arithmetic number, because the mean of its divisors is an integer number (39347182080).

Almost surely, 22122020200120 is an apocalyptic number.

2122020200120 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 2122020200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2518219653120).

2122020200120 is an abundant number, since it is smaller than the sum of its proper divisors (2914419106120).

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

2122020200120 is a wasteful number, since it uses less digits than its factorization.

2122020200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21885 (or 21881 counting only the distinct ones).

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

Adding to 2122020200120 its reverse (210020202212), we get a palindrome (2332040402332).

The spelling of 2122020200120 in words is "two trillion, one hundred twenty-two billion, twenty million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 94 124 155 188 235 248 310 376 470 620 940 1240 1457 1823 1880 2914 3646 5828 7285 7292 9115 11656 14570 14584 18230 19973 29140 36460 39946 56513 58280 72920 79892 85681 99865 113026 159784 171362 199730 226052 282565 342724 399460 428405 452104 565130 619163 685448 798920 856810 938731 1130260 1238326 1713620 1877462 2260520 2476652 2656111 3095815 3427240 3754924 4693655 4953304 5312222 6191630 7509848 9387310 10624444 12383260 13280555 18774620 21248888 24766520 26561110 29100661 36410779 37549240 53122220 58201322 72821558 106244440 116402644 145503305 145643116 182053895 232805288 291006610 291286232 364107790 582013220 728215580 1128734149 1164026440 1456431160 1711306613 2257468298 3422613226 4514936596 5643670745 6845226452 8556533065 9029873192 11287341490 13690452904 17113066130 22574682980 34226132260 45149365960 53050505003 68452264520 106101010006 212202020012 265252525015 424404040024 530505050030 1061010100060 2122020200120