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1121220096 = 29319103373
BaseRepresentation
bin100001011010100…
…0111011000000000
32220010202212211020
41002311013120000
54244013020341
6303131345440
736533133153
oct10265073000
92803685736
101121220096
11525999287
122735b2280
1314b3a0559
14a8ca3c9a
1568678566
hex42d47600

1121220096 has 160 divisors (see below), whose sum is σ = 3183248640. Its totient is φ = 349691904.

The previous prime is 1121220049. The next prime is 1121220097. The reversal of 1121220096 is 6900221211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121220097) 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, 3005766 + ... + 3006138.

It is an arithmetic number, because the mean of its divisors is an integer number (19895304).

Almost surely, 21121220096 is an apocalyptic number.

1121220096 is a gapful number since it is divisible by the number (16) 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 1121220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591624320).

1121220096 is an abundant number, since it is smaller than the sum of its proper divisors (2062028544).

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

1121220096 is a wasteful number, since it uses less digits than its factorization.

1121220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1121220096 is about 33484.6247701837. The cubic root of 1121220096 is about 1038.8757871656.

The spelling of 1121220096 in words is "one billion, one hundred twenty-one million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 103 114 128 152 192 206 228 256 304 309 373 384 412 456 512 608 618 746 768 824 912 1119 1216 1236 1492 1536 1648 1824 1957 2238 2432 2472 2984 3296 3648 3914 4476 4864 4944 5871 5968 6592 7087 7296 7828 8952 9728 9888 11742 11936 13184 14174 14592 15656 17904 19776 21261 23484 23872 26368 28348 29184 31312 35808 38419 39552 42522 46968 47744 52736 56696 62624 71616 76838 79104 85044 93936 95488 113392 115257 125248 143232 153676 158208 170088 187872 190976 226784 230514 250496 286464 307352 340176 375744 453568 461028 500992 572928 614704 680352 729961 751488 907136 922056 1001984 1229408 1360704 1459922 1502976 1814272 1844112 2189883 2458816 2721408 2919844 3005952 3628544 3688224 4379766 4917632 5442816 5839688 7376448 8759532 9835264 10885632 11679376 14752896 17519064 19670528 23358752 29505792 35038128 46717504 59011584 70076256 93435008 140152512 186870016 280305024 373740032 560610048 1121220096