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1224013121040 = 243545911110881
BaseRepresentation
bin10001110011111100110…
…111100000011000010000
311100000101120122001100210
4101303330313200120100
5130023234324333130
62334145345044120
7154301120602203
oct21637467403020
94300346561323
101224013121040
11432112551376
1217927b626640
138b568529378
14433577bb93a
1521c8ce1e5b0
hex11cfcde0610

1224013121040 has 80 divisors (see below), whose sum is σ = 3795270587136. Its totient is φ = 326332108800.

The previous prime is 1224013121003. The next prime is 1224013121081. The reversal of 1224013121040 is 401213104221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1224013120998 and 1224013121016.

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, 546400 + ... + 1657280.

Almost surely, 21224013121040 is an apocalyptic number.

1224013121040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1224013121040 is an abundant number, since it is smaller than the sum of its proper divisors (2571257466096).

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

1224013121040 is a wasteful number, since it uses less digits than its factorization.

1224013121040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115488 (or 1115482 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1224013121040 its reverse (401213104221), we get a palindrome (1625226225261).

The spelling of 1224013121040 in words is "one trillion, two hundred twenty-four billion, thirteen million, one hundred twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4591 9182 13773 18364 22955 27546 36728 45910 55092 68865 73456 91820 110184 137730 183640 220368 275460 367280 550920 1101840 1110881 2221762 3332643 4443524 5554405 6665286 8887048 11108810 13330572 16663215 17774096 22217620 26661144 33326430 44435240 53322288 66652860 88870480 133305720 266611440 5100054671 10200109342 15300164013 20400218684 25500273355 30600328026 40800437368 51000546710 61200656052 76500820065 81600874736 102001093420 122401312104 153001640130 204002186840 244802624208 306003280260 408004373680 612006560520 1224013121040