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1121222333232 = 243217571802129
BaseRepresentation
bin10000010100001110000…
…011110001001100110000
310222012001220121222221200
4100110032003301030300
5121332230404130412
62215025445451200
7144001635404121
oct20241603611460
93865056558850
101121222333232
113a2564860071
12161373110b00
13819667967c1
143c3a5c54048
151e273bb99dc
hex1050e0f1330

1121222333232 has 120 divisors (see below), whose sum is σ = 3328268383440. Its totient is φ = 351139553280.

The previous prime is 1121222333201. The next prime is 1121222333261. The reversal of 1121222333232 is 2323332221211.

1121222333232 is a `hidden beast` number, since 112 + 1 + 2 + 223 + 3 + 323 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1121222333196 and 1121222333205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 996744 + ... + 1798872.

It is an arithmetic number, because the mean of its divisors is an integer number (27735569862).

Almost surely, 21121222333232 is an apocalyptic number.

1121222333232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121222333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664134191720).

1121222333232 is an abundant number, since it is smaller than the sum of its proper divisors (2207046050208).

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

1121222333232 is a wasteful number, since it uses less digits than its factorization.

1121222333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802731 (or 802722 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 1121222333232 its reverse (2323332221211), we get a palindrome (3444554554443).

The spelling of 1121222333232 in words is "one trillion, one hundred twenty-one billion, two hundred twenty-two million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 571 612 816 1142 1224 1713 2284 2448 3426 4568 5139 6852 9136 9707 10278 13704 19414 20556 27408 29121 38828 41112 58242 77656 82224 87363 116484 155312 174726 232968 349452 465936 698904 802129 1397808 1604258 2406387 3208516 4812774 6417032 7219161 9625548 12834064 13636193 14438322 19251096 27272386 28876644 38502192 40908579 54544772 57753288 81817158 109089544 115506576 122725737 163634316 218179088 245451474 327268632 458015659 490902948 654537264 916031318 981805896 1374046977 1832062636 1963611792 2748093954 3664125272 4122140931 5496187908 7328250544 7786266203 8244281862 10992375816 15572532406 16488563724 21984751632 23358798609 31145064812 32977127448 46717597218 62290129624 65954254896 70076395827 93435194436 124580259248 140152791654 186870388872 280305583308 373740777744 560611166616 1121222333232