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122100122020020 = 22351925637124747
BaseRepresentation
bin11011110000110010100110…
…011001100110100010110100
3121000022122202102212111011020
4123300302212121212202310
5112000442022214120040
61111404004404141140
734501304563624224
oct3360624631464264
9530278672774136
10122100122020020
11359a5409811591
121183b9a39977b0
135318cb8853c71
14222196ac64084
15e1b187421cd0
hex6f0ca66668b4

122100122020020 has 72 divisors (see below), whose sum is σ = 360821080869984. Its totient is φ = 30846346610112.

The previous prime is 122100122020013. The next prime is 122100122020027. The reversal of 122100122020020 is 20020221001221.

It is an interprime number because it is at equal distance from previous prime (122100122020013) and next prime (122100122020027).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100122020027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2818540714 + ... + 2818584033.

It is an arithmetic number, because the mean of its divisors is an integer number (5011403900972).

Almost surely, 2122100122020020 is an apocalyptic number.

122100122020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100122020020 is an abundant number, since it is smaller than the sum of its proper divisors (238720958849964).

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

122100122020020 is a wasteful number, since it uses less digits than its factorization.

122100122020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5637124797 (or 5637124776 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122100122020020 its reverse (20020221001221), we get a palindrome (142120343021241).

The spelling of 122100122020020 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 361 380 570 722 1083 1140 1444 1805 2166 3610 4332 5415 7220 10830 21660 5637124747 11274249494 16911374241 22548498988 28185623735 33822748482 56371247470 67645496964 84556871205 107105370193 112742494940 169113742410 214210740386 321316110579 338227484820 428421480772 535526850965 642632221158 1071053701930 1285264442316 1606580552895 2035002033667 2142107403860 3213161105790 4070004067334 6105006101001 6426322211580 8140008134668 10175010168335 12210012202002 20350020336670 24420024404004 30525030505005 40700040673340 61050061010010 122100122020020