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1222140442400 = 25524049377297
BaseRepresentation
bin10001110010001101001…
…111110011011100100000
311022211120001212010012122
4101302031033303130200
5130010420423124100
62333235451043412
7154203531233543
oct21621517633440
94284501763178
101222140442400
11431341467179
12178a38440568
138b32a5704b7
144321abc685a
1521bcd80b985
hex11c8d3f3720

1222140442400 has 72 divisors (see below), whose sum is σ = 2984295125700. Its totient is φ = 488734146560.

The previous prime is 1222140442381. The next prime is 1222140442429. The reversal of 1222140442400 is 42440412221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 481652656144 + 740487786256 = 694012^2 + 860516^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1222140442400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3050552 + ... + 3427848.

Almost surely, 21222140442400 is an apocalyptic number.

1222140442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1222140442400 is an abundant number, since it is smaller than the sum of its proper divisors (1762154683300).

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

1222140442400 is a wasteful number, since it uses less digits than its factorization.

1222140442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381366 (or 381353 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 1222140442400 its reverse (42440412221), we get a palindrome (1264580854621).

The spelling of 1222140442400 in words is "one trillion, two hundred twenty-two billion, one hundred forty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4049 8098 16196 20245 32392 40490 64784 80980 101225 129568 161960 202450 323920 377297 404900 647840 754594 809800 1509188 1619600 1886485 3018376 3239200 3772970 6036752 7545940 9432425 12073504 15091880 18864850 30183760 37729700 60367520 75459400 150918800 301837600 1527675553 3055351106 6110702212 7638377765 12221404424 15276755530 24442808848 30553511060 38191888825 48885617696 61107022120 76383777650 122214044240 152767555300 244428088480 305535110600 611070221200 1222140442400