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121101202020222 = 232372153260932371
BaseRepresentation
bin11011100010010000010010…
…001000001101011101111110
3120212210011100222122202102200
4123202100102020031131332
5111333110230204121342
61105321042453532330
734336162452002634
oct3342202210153576
9525704328582380
10121101202020222
113564a805490846
12116ba2836440a6
135275a43255ac8
1421c9488031354
15e001c08e094c
hex6e241220d77e

121101202020222 has 96 divisors (see below), whose sum is σ = 269714280569760. Its totient is φ = 39241563678720.

The previous prime is 121101202020221. The next prime is 121101202020317. The reversal of 121101202020222 is 222020202101121.

It is a happy number.

121101202020222 is a `hidden beast` number, since 12 + 110 + 120 + 202 + 0 + 222 = 666.

It is a super-2 number, since 2×1211012020202222 (a number of 29 digits) contains 22 as substring.

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 = 121101202020195 and 121101202020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121101202020221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3741023697 + ... + 3741056067.

It is an arithmetic number, because the mean of its divisors is an integer number (2809523755935).

Almost surely, 2121101202020222 is an apocalyptic number.

121101202020222 is an abundant number, since it is smaller than the sum of its proper divisors (148613078549538).

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

121101202020222 is a wasteful number, since it uses less digits than its factorization.

121101202020222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37178 (or 37175 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121101202020222 its reverse (222020202101121), we get a palindrome (343121404121343).

The spelling of 121101202020222 in words is "one hundred twenty-one trillion, one hundred one billion, two hundred two million, twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 2153 2609 4306 5218 6459 7827 12918 15654 19377 23481 32371 38754 46962 64742 79661 96533 97113 159322 193066 194226 238983 289599 291339 477966 579198 582678 716949 868797 1197727 1433898 1737594 2395454 3593181 5617177 7186362 10779543 11234354 16851531 21559086 33703062 50554593 69694763 84455939 101109186 139389526 168911878 207835549 209084289 253367817 415671098 418168578 506735634 623506647 627252867 760103451 1247013294 1254505734 1520206902 1870519941 2578706231 3124869743 3741039882 5157412462 6249739486 7736118693 9374609229 15472237386 18749218458 23208356079 28123827687 46416712158 56247655374 181833636667 363667273334 545500910001 1091001820002 1636502730003 3273005460006 6727844556679 13455689113358 20183533670037 40367067340074 60550601010111 121101202020222