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2120010210120 = 2335117920329979
BaseRepresentation
bin11110110110011010011…
…101001001101101001000
321111200010011020012010010
4132312122131021231020
5234213240103210440
64301530320151520
7306110554313415
oct36663235115510
97450104205103
102120010210120
11748100549a20
122a2a571685a0
13124bba8b4b1a
14748752d310c
153a22dced580
hex1ed9a749b48

2120010210120 has 128 divisors (see below), whose sum is σ = 7026041088000. Its totient is φ = 507436250880.

The previous prime is 2120010210107. The next prime is 2120010210127. The reversal of 2120010210120 is 210120100212.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2120010210096 and 2120010210105.

It is not an unprimeable number, because it can be changed into a prime (2120010210127) 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, 10060710 + ... + 10269269.

It is an arithmetic number, because the mean of its divisors is an integer number (54890946000).

Almost surely, 22120010210120 is an apocalyptic number.

2120010210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120010210120 is an abundant number, since it is smaller than the sum of its proper divisors (4906030877880).

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

2120010210120 is a wasteful number, since it uses less digits than its factorization.

2120010210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20330083 (or 20330079 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2120010210120 its reverse (210120100212), we get a palindrome (2330130310332).

The spelling of 2120010210120 in words is "two trillion, one hundred twenty billion, ten million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 79 88 110 120 132 158 165 220 237 264 316 330 395 440 474 632 660 790 869 948 1185 1320 1580 1738 1896 2370 2607 3160 3476 4345 4740 5214 6952 8690 9480 10428 13035 17380 20856 26070 34760 52140 104280 20329979 40659958 60989937 81319916 101649895 121979874 162639832 203299790 223629769 243959748 304949685 406599580 447259538 487919496 609899370 670889307 813199160 894519076 1118148845 1219798740 1341778614 1606068341 1789038152 2236297690 2439597480 2683557228 3212136682 3354446535 4472595380 4818205023 5367114456 6424273364 6708893070 8030341705 8945190760 9636410046 12848546728 13417786140 16060683410 17666751751 19272820092 24091025115 26835572280 32121366820 35333503502 38545640184 48182050230 53000255253 64242733640 70667007004 88333758755 96364100460 106000510506 141334014008 176667517510 192728200920 212001021012 265001276265 353335035020 424002042024 530002552530 706670070040 1060005105060 2120010210120