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1221133444024 = 231378517149543
BaseRepresentation
bin10001110001010001001…
…110011010001110111000
311022201221220000022010111
4101301101032122032320
5130001340130202044
62332551515354104
7154136553004324
oct21612116321670
94281856008114
101221133444024
11430974aa340a
121787b7152934
138b1c9a52a80
1443163176984
1521b701e6b34
hex11c5139a3b8

1221133444024 has 32 divisors (see below), whose sum is σ = 2465798116320. Its totient is φ = 563589104256.

The previous prime is 1221133444021. The next prime is 1221133444031. The reversal of 1221133444024 is 4204443311221.

It is a happy number.

It is a super-2 number, since 2×12211334440242 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221133444021) 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, 8090997 + ... + 8240539.

It is an arithmetic number, because the mean of its divisors is an integer number (77056191135).

Almost surely, 21221133444024 is an apocalyptic number.

It is an amenable number.

1221133444024 is an abundant number, since it is smaller than the sum of its proper divisors (1244664672296).

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

1221133444024 is a wasteful number, since it uses less digits than its factorization.

1221133444024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228079 (or 228075 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 1221133444024 its reverse (4204443311221), we get a palindrome (5425576755245).

The spelling of 1221133444024 in words is "one trillion, two hundred twenty-one billion, one hundred thirty-three million, four hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 13 26 52 104 78517 149543 157034 299086 314068 598172 628136 1020721 1196344 1944059 2041442 3888118 4082884 7776236 8165768 15552472 11741667731 23483335462 46966670924 93933341848 152641680503 305283361006 610566722012 1221133444024