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1121012040 = 233547198761
BaseRepresentation
bin100001011010001…
…0100100101001000
32220010101022102110
41002310110211020
54243434341130
6303123102320
736531305451
oct10264244510
92803338373
101121012040
11525866a35
122735119a0
1314b329945
14a8c4c128
1568636ab0
hex42d14948

1121012040 has 64 divisors (see below), whose sum is σ = 3434607360. Its totient is φ = 292574720.

The previous prime is 1121011967. The next prime is 1121012047. The reversal of 1121012040 is 402101211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1121012047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93741 + ... + 105020.

It is an arithmetic number, because the mean of its divisors is an integer number (53665740).

Almost surely, 21121012040 is an apocalyptic number.

1121012040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121012040 is an abundant number, since it is smaller than the sum of its proper divisors (2313595320).

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

1121012040 is a wasteful number, since it uses less digits than its factorization.

1121012040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198822 (or 198818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1121012040 is about 33481.5178867386. The cubic root of 1121012040 is about 1038.8115245192.

Adding to 1121012040 its reverse (402101211), we get a palindrome (1523113251).

The spelling of 1121012040 in words is "one billion, one hundred twenty-one million, twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 198761 397522 596283 795044 993805 1192566 1590088 1987610 2385132 2981415 3975220 4770264 5962830 7950440 9341767 11925660 18683534 23851320 28025301 37367068 46708835 56050602 74734136 93417670 112101204 140126505 186835340 224202408 280253010 373670680 560506020 1121012040