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122121102121020 = 22345733102842287
BaseRepresentation
bin11011110001000110001000…
…111010010101100000111100
3121000101122220120122001020000
4123301012020322111200330
5112001313004120333040
61111421354304354300
734502646516553362
oct3361061072254074
9530348816561200
10122121102121020
1135a032a5502a32
1211843a7a015990
13531ac802bc602
14222299b397632
15e1b9b423d130
hex6f1188e9583c

122121102121020 has 120 divisors (see below), whose sum is σ = 383621068590144. Its totient is φ = 32521199048064.

The previous prime is 122121102120949. The next prime is 122121102121069. The reversal of 122121102121020 is 20121201121221.

122121102121020 is a `hidden beast` number, since 1 + 221 + 211 + 0 + 2 + 1 + 210 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 122121102120984 and 122121102121002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50233684 + ... + 52608603.

Almost surely, 2122121102121020 is an apocalyptic number.

122121102121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122121102121020 is an abundant number, since it is smaller than the sum of its proper divisors (261499966469124).

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

122121102121020 is a wasteful number, since it uses less digits than its factorization.

122121102121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102843041 (or 102843030 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122121102121020 its reverse (20121201121221), we get a palindrome (142242303242241).

The spelling of 122121102121020 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 733 810 1466 1620 2199 2932 3665 4398 6597 7330 8796 10995 13194 14660 19791 21990 26388 32985 39582 43980 59373 65970 79164 98955 118746 131940 197910 237492 296865 395820 593730 1187460 102842287 205684574 308526861 411369148 514211435 617053722 925580583 1028422870 1234107444 1542634305 1851161166 2056845740 2776741749 3085268610 3702322332 4627902915 5553483498 6170537220 8330225247 9255805830 11106966996 13883708745 16660450494 18511611660 27767417490 33320900988 41651126235 55534834980 75383396371 83302252470 150766792742 166604504940 226150189113 301533585484 376916981855 452300378226 678450567339 753833963710 904600756452 1130750945565 1356901134678 1507667927420 2035351702017 2261501891130 2713802269356 3392252836695 4070703404034 4523003782260 6106055106051 6784505673390 8141406808068 10176758510085 12212110212102 13569011346780 20353517020170 24424220424204 30530275530255 40707034040340 61060551060510 122121102121020