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120122022121101 = 34711131481506421
BaseRepresentation
bin11011010100000000010110…
…011101010100111010001101
3120202022112221020221001010000
4123110000112131110322031
5111221034400130333401
61103251143430234513
734205346455123310
oct3324002635247215
9522275836831100
10120122022121101
1135302510a048a0
12115805521b5a39
1352045c55350b0
142193d18b8c977
15dd49b1ddd186
hex6d4016754e8d

120122022121101 has 80 divisors (see below), whose sum is σ = 240928500371328. Its totient is φ = 57600969609600.

The previous prime is 120122022121093. The next prime is 120122022121139. The reversal of 120122022121101 is 101121220221021.

120122022121101 is a `hidden beast` number, since 1 + 201 + 220 + 22 + 121 + 101 = 666.

It is not a de Polignac number, because 120122022121101 - 23 = 120122022121093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120122022121151) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 740672130 + ... + 740834291.

Almost surely, 2120122022121101 is an apocalyptic number.

120122022121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120122022121101 is an abundant number, since it is smaller than the sum of its proper divisors (120806478250227).

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

120122022121101 is a wasteful number, since it uses less digits than its factorization.

120122022121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481506464 (or 1481506455 counting only the distinct ones).

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

Adding to 120122022121101 its reverse (101121220221021), we get a palindrome (221243242342122).

The spelling of 120122022121101 in words is "one hundred twenty trillion, one hundred twenty-two billion, twenty-two million, one hundred twenty-one thousand, one hundred one".

Divisors: 1 3 7 9 11 13 21 27 33 39 63 77 81 91 99 117 143 189 231 273 297 351 429 567 693 819 891 1001 1053 1287 2079 2457 3003 3861 6237 7371 9009 11583 27027 81081 1481506421 4444519263 10370544947 13333557789 16296570631 19259583473 31111634841 40000673367 48889711893 57778750419 93334904523 114075994417 120002020101 134817084311 146669135679 173336251257 211855418203 280004713569 342227983251 404451252933 440007407037 520008753771 635566254609 840014140707 1026683949753 1213353758799 1320022221111 1482987927421 1560026261313 1906698763827 3080051849259 3640061276397 4448963782263 5720096291481 9240155547777 10920183829191 13346891346789 17160288874443 40040674040367 120122022121101