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122021022211220 = 2251116710913044183
BaseRepresentation
bin11011101111101000111011…
…101011110001110010010100
3121000001002120211121212100002
4123233220323223301302110
5111443143023141224340
61111303403404510432
734462504452425606
oct3357507353616224
9530032524555302
10122021022211220
1135974908a58480
12118285a954b418
1353116c1081882
14221bbc5895176
15e190a7ebb715
hex6efa3baf1c94

122021022211220 has 96 divisors (see below), whose sum is σ = 281470805231616. Its totient is φ = 44065143286400.

The previous prime is 122021022211199. The next prime is 122021022211273. The reversal of 122021022211220 is 22112220120221.

It is a super-2 number, since 2×1220210222112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 122021022211192 and 122021022211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38561249 + ... + 41605431.

It is an arithmetic number, because the mean of its divisors is an integer number (2931987554496).

Almost surely, 2122021022211220 is an apocalyptic number.

122021022211220 is a gapful number since it is divisible by the number (10) 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 122021022211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140735402615808).

122021022211220 is an abundant number, since it is smaller than the sum of its proper divisors (159449783020396).

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

122021022211220 is a wasteful number, since it uses less digits than its factorization.

122021022211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3045461 (or 3045459 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 122021022211220 its reverse (22112220120221), we get a palindrome (144133242331441).

The spelling of 122021022211220 in words is "one hundred twenty-two trillion, twenty-one billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1091 1670 1837 2182 3340 3674 4364 5455 7348 9185 10910 12001 18370 21820 24002 36740 48004 60005 120010 182197 240020 364394 728788 910985 1821970 2004167 3044183 3643940 4008334 6088366 8016668 10020835 12176732 15220915 20041670 30441830 33486013 40083340 60883660 66972026 133944052 167430065 334860130 508378561 669720260 1016757122 2033514244 2541892805 3321203653 5083785610 5592164171 6642407306 10167571220 11184328342 13284814612 16606018265 22368656684 27960820855 33212036530 36533240183 55921641710 66424073060 73066480366 111843283420 146132960732 182666200915 365332401830 554641010051 730664803660 1109282020102 2218564040204 2773205050255 5546410100510 6101051110561 11092820201020 12202102221122 24404204442244 30505255552805 61010511105610 122021022211220