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12121224144 = 2431791410757
BaseRepresentation
bin10110100100111101…
…10011001111010000
31011021202012222121120
423102132303033100
5144311013133034
65322435522240
7606242463621
oct132236631720
934252188546
1012121224144
11516012a117
122423459380
1311b22c99a3
1482db75a48
154ae218c49
hex2d27b33d0

12121224144 has 40 divisors (see below), whose sum is σ = 31488118560. Its totient is φ = 4017833088.

The previous prime is 12121224127. The next prime is 12121224169. The reversal of 12121224144 is 44142212121.

It is a happy number.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696787 + ... + 713970.

It is an arithmetic number, because the mean of its divisors is an integer number (787202964).

Almost surely, 212121224144 is an apocalyptic number.

It is an amenable number.

12121224144 is an abundant number, since it is smaller than the sum of its proper divisors (19366894416).

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

12121224144 is a wasteful number, since it uses less digits than its factorization.

12121224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410947 (or 1410941 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

Adding to 12121224144 its reverse (44142212121), we get a palindrome (56263436265).

The spelling of 12121224144 in words is "twelve billion, one hundred twenty-one million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 179 358 537 716 1074 1432 2148 2864 4296 8592 1410757 2821514 4232271 5643028 8464542 11286056 16929084 22572112 33858168 67716336 252525503 505051006 757576509 1010102012 1515153018 2020204024 3030306036 4040408048 6060612072 12121224144