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1231121334444 = 223434243562313
BaseRepresentation
bin10001111010100100100…
…011001100000010101100
311100200201221222201000220
4101322210203030002230
5130132314030200234
62341322550451340
7154642222452351
oct21724443140254
94320657881026
101231121334444
1143512a997301
1217a724063b50
138c12c0903c1
144382d866628
1522056eb1a49
hex11ea48cc0ac

1231121334444 has 48 divisors (see below), whose sum is σ = 2940119478912. Its totient is φ = 400735020672.

The previous prime is 1231121334437. The next prime is 1231121334451. The reversal of 1231121334444 is 4444331211321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1231121334437) and next prime (1231121334451).

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1908232 + ... + 2470544.

It is an arithmetic number, because the mean of its divisors is an integer number (61252489144).

Almost surely, 21231121334444 is an apocalyptic number.

It is an amenable number.

1231121334444 is an abundant number, since it is smaller than the sum of its proper divisors (1708998144468).

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

1231121334444 is a wasteful number, since it uses less digits than its factorization.

1231121334444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566606 (or 566604 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

Adding to 1231121334444 its reverse (4444331211321), we get a palindrome (5675452545765).

It can be divided in two parts, 1231121 and 334444, that added together give a triangular number (1565565 = T1769).

The spelling of 1231121334444 in words is "one trillion, two hundred thirty-one billion, one hundred twenty-one million, three hundred thirty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 4243 8486 12729 16972 25458 50916 182449 364898 547347 562313 729796 1094694 1124626 1686939 2189388 2249252 3373878 6747756 24179459 48358918 72538377 96717836 145076754 290153508 2385894059 4771788118 7157682177 9543576236 14315364354 28630728708 102593444537 205186889074 307780333611 410373778148 615560667222 1231121334444