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1122112022112 = 253217601381347
BaseRepresentation
bin10000010101000011000…
…101101010011001100000
310222021100220201212122200
4100111003011222121200
5121341041134201422
62215254030533200
7144032660546214
oct20250305523140
93867326655580
101122112022112
113a2980a8a534
12161581067200
1381a78bbcb23
143c44c088944
151e2c6d5b2ac
hex1054316a660

1122112022112 has 144 divisors (see below), whose sum is σ = 3384342994032. Its totient is φ = 351448473600.

The previous prime is 1122112022077. The next prime is 1122112022153. The reversal of 1122112022112 is 2112202112211.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 2751823 + ... + 3133169.

It is an arithmetic number, because the mean of its divisors is an integer number (23502381903).

Almost surely, 21122112022112 is an apocalyptic number.

1122112022112 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 1122112022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692171497016).

1122112022112 is an abundant number, since it is smaller than the sum of its proper divisors (2262230971920).

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

1122112022112 is a wasteful number, since it uses less digits than its factorization.

1122112022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381981 (or 381970 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 1122112022112 its reverse (2112202112211), we get a palindrome (3234314134323).

Subtracting 1122112022112 from its reverse (2112202112211), we obtain a palindrome (990090090099).

The spelling of 1122112022112 in words is "one trillion, one hundred twenty-two billion, one hundred twelve million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 601 612 816 1202 1224 1632 1803 2404 2448 3606 4808 4896 5409 7212 9616 10217 10818 14424 19232 20434 21636 28848 30651 40868 43272 57696 61302 81736 86544 91953 122604 163472 173088 183906 245208 326944 367812 381347 490416 735624 762694 980832 1144041 1471248 1525388 2288082 2942496 3050776 3432123 4576164 6101552 6482899 6864246 9152328 12203104 12965798 13728492 18304656 19448697 25931596 27456984 36609312 38897394 51863192 54913968 58346091 77794788 103726384 109827936 116692182 155589576 207452768 229189547 233384364 311179152 458379094 466768728 622358304 687568641 916758188 933537456 1375137282 1833516376 1867074912 2062705923 2750274564 3667032752 3896222299 4125411846 5500549128 7334065504 7792444598 8250823692 11001098256 11688666897 15584889196 16501647384 22002196512 23377333794 31169778392 33003294768 35066000691 46754667588 62339556784 66006589536 70132001382 93509335176 124679113568 140264002764 187018670352 280528005528 374037340704 561056011056 1122112022112