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121041312030 = 232519128355171
BaseRepresentation
bin111000010111010011…
…1111101100100011110
3102120102120120202001200
41300232213331210132
53440343033441110
6131334451220330
711513342114352
oct1605647754436
9376376522050
10121041312030
1147373735281
121b5605a76a6
13b54cb5a332
145c03769462
1532365e76c0
hex1c2e9fd91e

121041312030 has 96 divisors (see below), whose sum is σ = 331535168640. Its totient is φ = 30554470080.

The previous prime is 121041311987. The next prime is 121041312031. The reversal of 121041312030 is 30213140121.

121041312030 is a `hidden beast` number, since 1 + 210 + 413 + 12 + 0 + 30 = 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 = 121041311994 and 121041312012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121041312031) 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, 2166345 + ... + 2221515.

It is an arithmetic number, because the mean of its divisors is an integer number (3453491340).

Almost surely, 2121041312030 is an apocalyptic number.

121041312030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121041312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165767584320).

121041312030 is an abundant number, since it is smaller than the sum of its proper divisors (210493856610).

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

121041312030 is a wasteful number, since it uses less digits than its factorization.

121041312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56486 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121041312030 its reverse (30213140121), we get a palindrome (151254452151).

The spelling of 121041312030 in words is "one hundred twenty-one billion, forty-one million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1283 1710 2566 3849 6415 7698 11547 12830 19245 23094 24377 38490 48754 55171 57735 73131 110342 115470 121885 146262 165513 219393 243770 275855 331026 365655 438786 496539 551710 731310 827565 993078 1048249 1096965 1655130 2096498 2193930 2482695 3144747 4965390 5241245 6289494 9434241 10482490 15723735 18868482 31447470 47171205 70784393 94342410 141568786 212353179 353921965 424706358 637059537 707843930 1061765895 1274119074 1344903467 2123531790 2689806934 3185297685 4034710401 6370595370 6724517335 8069420802 12104131203 13449034670 20173552005 24208262406 40347104010 60520656015 121041312030