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1244122314312 = 233891374251491
BaseRepresentation
bin10010000110101011011…
…101111111011001001000
311101221022000121220121210
4102012223131333121020
5130340430303024222
62351313014533120
7155612340120633
oct22065335773110
94357260556553
101244122314312
1143a6a1680969
121811520671a0
13904217160b7
14443043a8c1a
1522568558d0c
hex121ab77f648

1244122314312 has 64 divisors (see below), whose sum is σ = 3168211838400. Its totient is φ = 407054658560.

The previous prime is 1244122314289. The next prime is 1244122314319. The reversal of 1244122314312 is 2134132214421.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1244122314312.

It is not an unprimeable number, because it can be changed into a prime (1244122314319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833114 + ... + 2418377.

It is an arithmetic number, because the mean of its divisors is an integer number (49503309975).

Almost surely, 21244122314312 is an apocalyptic number.

1244122314312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1244122314312 is an abundant number, since it is smaller than the sum of its proper divisors (1924089524088).

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

1244122314312 is a wasteful number, since it uses less digits than its factorization.

1244122314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251726 (or 4251722 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 1244122314312 its reverse (2134132214421), we get a palindrome (3378254528733).

The spelling of 1244122314312 in words is "one trillion, two hundred forty-four billion, one hundred twenty-two million, three hundred fourteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 89 137 178 267 274 356 411 534 548 712 822 1068 1096 1644 2136 3288 12193 24386 36579 48772 73158 97544 146316 292632 4251491 8502982 12754473 17005964 25508946 34011928 51017892 102035784 378382699 582454267 756765398 1135148097 1164908534 1513530796 1747362801 2270296194 2329817068 3027061592 3494725602 4540592388 4659634136 6989451204 9081184776 13978902408 51838429763 103676859526 155515289289 207353719052 311030578578 414707438104 622061157156 1244122314312