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122001100100220 = 223511427874320241
BaseRepresentation
bin11011101111010110011000…
…001110111101001001111100
3120222222012011102122202201010
4123233112120032331021330
5111442331223111201340
61111250310500515220
734461200664323415
oct3357263016751174
9528865142582633
10122001100100220
1135967415498630
12118247696abb10
13530c867878503
14221ac55a8680c
15e187dded8b80
hex6ef5983bd27c

122001100100220 has 96 divisors (see below), whose sum is σ = 372666701627136. Its totient is φ = 29575326182400.

The previous prime is 122001100100171. The next prime is 122001100100227. The reversal of 122001100100220 is 22001001100221.

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 = 122001100100196 and 122001100100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001100100227) 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, 26079300 + ... + 30399540.

It is an arithmetic number, because the mean of its divisors is an integer number (3881944808616).

Almost surely, 2122001100100220 is an apocalyptic number.

122001100100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001100100220 is an abundant number, since it is smaller than the sum of its proper divisors (250665601526916).

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

122001100100220 is a wasteful number, since it uses less digits than its factorization.

122001100100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363051 (or 4363049 counting only the distinct ones).

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

Adding to 122001100100220 its reverse (22001001100221), we get a palindrome (144002101200441).

The spelling of 122001100100220 in words is "one hundred twenty-two trillion, one billion, one hundred million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 42787 85574 128361 171148 213935 256722 427870 470657 513444 641805 855740 941314 1283610 1411971 1882628 2353285 2567220 2823942 4320241 4706570 5647884 7059855 8640482 9413140 12960723 14119710 17280964 21601205 25921446 28239420 43202410 47522651 51842892 64803615 86404820 95045302 129607230 142567953 190090604 237613255 259214460 285135906 475226510 570271812 712839765 950453020 1425679530 2851359060 184850151667 369700303334 554550455001 739400606668 924250758335 1109100910002 1848501516670 2033351668337 2218201820004 2772752275005 3697003033340 4066703336674 5545504550010 6100055005011 8133406673348 10166758341685 11091009100020 12200110010022 20333516683370 24400220020044 30500275025055 40667033366740 61000550050110 122001100100220