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12402211140 = 223251159910457
BaseRepresentation
bin10111000110011101…
…01011100101000100
31012000022221121022100
423203032223211010
5200344431224030
65410354232100
7616224024654
oct134316534504
935008847270
1012402211140
1152947a7880
1224a1585630
13122859b697
148591da364
154c8c1e360
hex2e33ab944

12402211140 has 144 divisors (see below), whose sum is σ = 41112489600. Its totient is φ = 3001290240.

The previous prime is 12402211139. The next prime is 12402211147. The reversal of 12402211140 is 4111220421.

12402211140 is a `hidden beast` number, since 12 + 402 + 211 + 1 + 40 = 666.

12402211140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×124022111402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12402211147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1180792 + ... + 1191248.

It is an arithmetic number, because the mean of its divisors is an integer number (285503400).

Almost surely, 212402211140 is an apocalyptic number.

12402211140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12402211140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556244800).

12402211140 is an abundant number, since it is smaller than the sum of its proper divisors (28710278460).

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

12402211140 is a wasteful number, since it uses less digits than its factorization.

12402211140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11082 (or 11077 counting only the distinct ones).

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

Adding to 12402211140 its reverse (4111220421), we get a palindrome (16513431561).

The spelling of 12402211140 in words is "twelve billion, four hundred two million, two hundred eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 599 660 990 1198 1797 1980 2396 2995 3594 5391 5990 6589 7188 8985 10457 10782 11980 13178 17970 19767 20914 21564 26356 26955 31371 32945 35940 39534 41828 52285 53910 59301 62742 65890 79068 94113 98835 104570 107820 115027 118602 125484 131780 156855 188226 197670 209140 230054 237204 296505 313710 345081 376452 395340 460108 470565 575135 593010 627420 690162 941130 1035243 1150270 1186020 1380324 1725405 1882260 2070486 2300540 3450810 4140972 5176215 6263743 6901620 10352430 12527486 18791229 20704860 25054972 31318715 37582458 56373687 62637430 68901173 75164916 93956145 112747374 125274860 137802346 187912290 206703519 225494748 275604692 281868435 344505865 375824580 413407038 563736870 620110557 689011730 826814076 1033517595 1127473740 1240221114 1378023460 2067035190 2480442228 3100552785 4134070380 6201105570 12402211140