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121120191288 = 23322476367933
BaseRepresentation
bin111000011001101010…
…0110111001100111000
3102120122002000020001200
41300303110313030320
53441023232110123
6131350350014200
711515320432135
oct1606324671470
9376562006050
10121120191288
1147404210448
121b582aa7360
13b5632b7555
145c1001d58c
15323d4c9143
hex1c33537338

121120191288 has 48 divisors (see below), whose sum is σ = 328051927320. Its totient is φ = 40371172416.

The previous prime is 121120191281. The next prime is 121120191289. The reversal of 121120191288 is 882191021121.

It is a happy number.

It is a super-2 number, since 2×1211201912882 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120191281) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1748970 + ... + 1816902.

Almost surely, 2121120191288 is an apocalyptic number.

121120191288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

121120191288 is an abundant number, since it is smaller than the sum of its proper divisors (206931736032).

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

121120191288 is a wasteful number, since it uses less digits than its factorization.

121120191288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92708 (or 92701 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The spelling of 121120191288 in words is "one hundred twenty-one billion, one hundred twenty million, one hundred ninety-one thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 24763 49526 67933 74289 99052 135866 148578 198104 203799 222867 271732 297156 407598 445734 543464 594312 611397 815196 891468 1222794 1630392 1782936 2445588 4891176 1682224879 3364449758 5046674637 6728899516 10093349274 13457799032 15140023911 20186698548 30280047822 40373397096 60560095644 121120191288