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1122121444240 = 24523226515157
BaseRepresentation
bin10000010101000011101…
…001100110101110010000
310222021101120110120101101
4100111003221212232100
5121341101042203430
62215255004514144
7144033133621036
oct20250351465620
93867346416341
101122121444240
113a2986335515
1216158424b954
1381a7ab3b654
143c44d41c556
151e2c7abcdca
hex10543a66b90

1122121444240 has 60 divisors (see below), whose sum is σ = 2727296121564. Its totient is φ = 429333405952.

The previous prime is 1122121444229. The next prime is 1122121444289. The reversal of 1122121444240 is 424441212211.

It can be written as a sum of positive squares in 2 ways, for example, as 201895651584 + 920225792656 = 449328^2 + 959284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1122121444199 and 1122121444208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13215259 + ... + 13299898.

Almost surely, 21122121444240 is an apocalyptic number.

1122121444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122121444240 is an abundant number, since it is smaller than the sum of its proper divisors (1605174677324).

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

1122121444240 is a wasteful number, since it uses less digits than its factorization.

1122121444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26515216 (or 26515187 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1122121444240 its reverse (424441212211), we get a palindrome (1546562656451).

The spelling of 1122121444240 in words is "one trillion, one hundred twenty-two billion, one hundred twenty-one million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 529 920 1058 1840 2116 2645 4232 5290 8464 10580 21160 42320 26515157 53030314 106060628 132575785 212121256 265151570 424242512 530303140 609848611 1060606280 1219697222 2121212560 2439394444 3049243055 4878788888 6098486110 9757577776 12196972220 14026518053 24393944440 28053036106 48787888880 56106072212 70132590265 112212144424 140265180530 224424288848 280530361060 561060722120 1122121444240