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1121214120 = 2335132331249
BaseRepresentation
bin100001011010100…
…0101111010101000
32220010202120121220
41002311011322220
54244012322440
6303131302040
736533106555
oct10265057250
92803676556
101121214120
11525994844
122735aa920
1314b39a910
14a8ca1a2c
15686768d0
hex42d45ea8

1121214120 has 128 divisors (see below), whose sum is σ = 3780000000. Its totient is φ = 263983104.

The previous prime is 1121214103. The next prime is 1121214131. The reversal of 1121214120 is 214121211.

It is a super-2 number, since 2×11212141202 = 2514242205774748800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1121214120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20256 + ... + 51504.

It is an arithmetic number, because the mean of its divisors is an integer number (29531250).

Almost surely, 21121214120 is an apocalyptic number.

1121214120 is a gapful number since it is divisible by the number (10) 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 1121214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890000000).

1121214120 is an abundant number, since it is smaller than the sum of its proper divisors (2658785880).

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

1121214120 is a wasteful number, since it uses less digits than its factorization.

1121214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31299 (or 31295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 1121214120 is about 33484.5355350795. The cubic root of 1121214120 is about 1038.8739414581.

Adding to 1121214120 its reverse (214121211), we get a palindrome (1335335331).

The spelling of 1121214120 in words is "one billion, one hundred twenty-one million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 31249 35880 62498 93747 124996 156245 187494 249992 312490 374988 406237 468735 624980 718727 749976 812474 937470 1218711 1249960 1437454 1624948 1874940 2031185 2156181 2437422 2874908 3249896 3593635 3749880 4062370 4312362 4874844 5749816 6093555 7187270 8124740 8624724 9343451 9749688 10780905 12187110 14374540 16249480 17249448 18686902 21561810 24374220 28030353 28749080 37373804 43123620 46717255 48748440 56060706 74747608 86247240 93434510 112121412 140151765 186869020 224242824 280303530 373738040 560607060 1121214120