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121141141240 = 23571014283633
BaseRepresentation
bin111000011010010010…
…0110001111011111000
3102120200112102120222211
41300310210301323320
53441044113004430
6131352415024504
711515663465540
oct1606444617370
9376615376884
10121141141240
114741501a459
121b589b0b134
13b567741182
145c12b14320
15324026672a
hex1c34931ef8

121141141240 has 64 divisors (see below), whose sum is σ = 314590080960. Its totient is φ = 41122867200.

The previous prime is 121141141229. The next prime is 121141141267. The reversal of 121141141240 is 42141141121.

It is a super-3 number, since 3×1211411412403 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2113537 + ... + 2170096.

It is an arithmetic number, because the mean of its divisors is an integer number (4915470015).

Almost surely, 2121141141240 is an apocalyptic number.

121141141240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121141141240 is an abundant number, since it is smaller than the sum of its proper divisors (193448939720).

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

121141141240 is a wasteful number, since it uses less digits than its factorization.

121141141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4283752 (or 4283748 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 121141141240 its reverse (42141141121), we get a palindrome (163282282361).

The spelling of 121141141240 in words is "one hundred twenty-one billion, one hundred forty-one million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 101 140 202 280 404 505 707 808 1010 1414 2020 2828 3535 4040 5656 7070 14140 28280 4283633 8567266 17134532 21418165 29985431 34269064 42836330 59970862 85672660 119941724 149927155 171345320 239883448 299854310 432646933 599708620 865293866 1199417240 1730587732 2163234665 3028528531 3461175464 4326469330 6057057062 8652938660 12114114124 15142642655 17305877320 24228228248 30285285310 60570570620 121141141240