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1142123211312 = 243971371790521
BaseRepresentation
bin10000100111101011110…
…110010010101000110000
311001012000112022121121020
4100213223312102220300
5122203032020230222
62232403440055440
7145341610054536
oct20475366225060
94035015277536
101142123211312
1140040a861126
12165426904580
13839179b4695
143d3c9a44156
151ea98a8765c
hex109ebd92a30

1142123211312 has 80 divisors (see below), whose sum is σ = 3002662421472. Its totient is φ = 374032465920.

The previous prime is 1142123211217. The next prime is 1142123211343. The reversal of 1142123211312 is 2131123212411.

It is a super-2 number, since 2×11421232113122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 257389 + ... + 1533132.

Almost surely, 21142123211312 is an apocalyptic number.

1142123211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142123211312 is an abundant number, since it is smaller than the sum of its proper divisors (1860539210160).

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

1142123211312 is a wasteful number, since it uses less digits than its factorization.

1142123211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1790766 (or 1790760 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

Adding to 1142123211312 its reverse (2131123212411), we get a palindrome (3273246423723).

The spelling of 1142123211312 in words is "one trillion, one hundred forty-two billion, one hundred twenty-three million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 97 137 194 274 291 388 411 548 582 776 822 1096 1164 1552 1644 2192 2328 3288 4656 6576 13289 26578 39867 53156 79734 106312 159468 212624 318936 637872 1790521 3581042 5371563 7162084 10743126 14324168 21486252 28648336 42972504 85945008 173680537 245301377 347361074 490602754 521041611 694722148 735904131 981205508 1042083222 1389444296 1471808262 1962411016 2084166444 2778888592 2943616524 3924822032 4168332888 5887233048 8336665776 11774466096 23794233569 47588467138 71382700707 95176934276 142765401414 190353868552 285530802828 380707737104 571061605656 1142123211312