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1120002201220 = 2257427138597
BaseRepresentation
bin10000010011000101010…
…101010101011010000100
310222001220212201212111011
4100103011111111122010
5121322231030414340
62214304422052004
7143626461430000
oct20230525253204
93861825655434
101120002201220
113a1a99053901
1216109257a004
1381800a73ab6
143c2cbba3700
151e201a040ea
hex104c5555684

1120002201220 has 120 divisors (see below), whose sum is σ = 2745172776024. Its totient is φ = 383814563328.

The previous prime is 1120002201181. The next prime is 1120002201229. The reversal of 1120002201220 is 221022000211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 537491327044 + 582510874176 = 733138^2 + 763224^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1120002201220.

It is not an unprimeable number, because it can be changed into a prime (1120002201229) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 130273962 + ... + 130282558.

Almost surely, 21120002201220 is an apocalyptic number.

1120002201220 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 1120002201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372586388012).

1120002201220 is an abundant number, since it is smaller than the sum of its proper divisors (1625170574804).

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

1120002201220 is an equidigital number, since it uses as much as digits as its factorization.

1120002201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11347 (or 11324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1120002201220 its reverse (221022000211), we get a palindrome (1341024201431).

The spelling of 1120002201220 in words is "one trillion, one hundred twenty billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 2401 2713 3430 4802 5426 6860 8597 9604 10852 12005 13565 17194 18991 24010 27130 34388 37982 42985 48020 54260 60179 75964 85970 94955 120358 132937 171940 189910 240716 265874 300895 379820 421253 531748 601790 664685 842506 930559 1203580 1329370 1685012 1861118 2106265 2658740 2948771 3722236 4212530 4652795 5897542 6513913 8425060 9305590 11795084 13027826 14743855 18611180 20641397 23323661 26055652 29487710 32569565 41282794 46647322 58975420 65139130 82565588 93294644 103206985 116618305 130278260 163265627 206413970 233236610 326531254 412827940 466473220 653062508 816328135 1142859389 1632656270 2285718778 3265312540 4571437556 5714296945 8000015723 11428593890 16000031446 22857187780 32000062892 40000078615 56000110061 80000157230 112000220122 160000314460 224000440244 280000550305 560001100610 1120002201220