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1234240412112 = 24343725739081
BaseRepresentation
bin10001111101011110011…
…101100001100111010000
311100222210100002021020000
4101331132131201213100
5130210211021141422
62343000251250000
7155112425255301
oct21753635414720
94328710067200
101234240412112
11436490599544
1217b254749900
138c508337aa6
1443a47bc87a8
152218ac27cac
hex11f5e7619d0

1234240412112 has 100 divisors (see below), whose sum is σ = 3668797270116. Its totient is φ = 400294172160.

The previous prime is 1234240412101. The next prime is 1234240412117. The reversal of 1234240412112 is 2112140424321.

1234240412112 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 240 + 412 + 1 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 767418048576 + 466822363536 = 876024^2 + 683244^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1234240412117) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12821589 + ... + 12917492.

Almost surely, 21234240412112 is an apocalyptic number.

1234240412112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1234240412112 is an abundant number, since it is smaller than the sum of its proper divisors (2434556858004).

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

1234240412112 is a wasteful number, since it uses less digits than its factorization.

1234240412112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25739138 (or 25739123 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1234240412112 its reverse (2112140424321), we get a palindrome (3346380836433).

The spelling of 1234240412112 in words is "one trillion, two hundred thirty-four billion, two hundred forty million, four hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 296 324 333 432 444 592 648 666 888 999 1296 1332 1776 1998 2664 2997 3996 5328 5994 7992 11988 15984 23976 47952 25739081 51478162 77217243 102956324 154434486 205912648 231651729 308868972 411825296 463303458 617737944 694955187 926606916 952345997 1235475888 1389910374 1853213832 1904691994 2084865561 2779820748 2857037991 3706427664 3809383988 4169731122 5559641496 5714075982 7618767976 8339462244 8571113973 11119282992 11428151964 15237535952 16678924488 17142227946 22856303928 25713341919 33357848976 34284455892 45712607856 51426683838 68568911784 77140025757 102853367676 137137823568 154280051514 205706735352 308560103028 411413470704 617120206056 1234240412112