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1225011141224 = 231374759157559
BaseRepresentation
bin10001110100111000010…
…110101001101001101000
311100002222010120201200022
4101310320112221221220
5130032310323004344
62334432400100012
7154334626616063
oct21647026515150
94302863521608
101225011141224
11432584942742
121794b9904608
138b697222360
14434101718da
1521cea85e0ee
hex11d385a9a68

1225011141224 has 32 divisors (see below), whose sum is σ = 2473628976000. Its totient is φ = 565378606272.

The previous prime is 1225011141223. The next prime is 1225011141271. The reversal of 1225011141224 is 4221411105221.

It is a super-2 number, since 2×12250111412242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 1225011141193 and 1225011141202.

It is not an unprimeable number, because it can be changed into a prime (1225011141223) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7696157 + ... + 7853715.

It is an arithmetic number, because the mean of its divisors is an integer number (77300905500).

Almost surely, 21225011141224 is an apocalyptic number.

It is an amenable number.

1225011141224 is an abundant number, since it is smaller than the sum of its proper divisors (1248617834776).

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

1225011141224 is a wasteful number, since it uses less digits than its factorization.

1225011141224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232337 (or 232333 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

Adding to 1225011141224 its reverse (4221411105221), we get a palindrome (5446422246445).

The spelling of 1225011141224 in words is "one trillion, two hundred twenty-five billion, eleven million, one hundred forty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 74759 149518 157559 299036 315118 598072 630236 971867 1260472 1943734 2048267 3887468 4096534 7774936 8193068 16386136 11778953281 23557906562 47115813124 94231626248 153126392653 306252785306 612505570612 1225011141224