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1122004214120 = 235175316001201
BaseRepresentation
bin10000010100111100101…
…010011010000101101000
310222021002101212122220002
4100110330222122011220
5121340331034322440
62215235220122132
7144030211314206
oct20247452320550
93867071778802
101122004214120
113a2926145819
12161550b36348
1381a5c77440a
143c43ba24076
151e2bc663115
hex1053ca9a168

1122004214120 has 32 divisors (see below), whose sum is σ = 2525949747720. Its totient is φ = 448545638400.

The previous prime is 1122004214099. The next prime is 1122004214141. The reversal of 1122004214120 is 214124002211.

It is an interprime number because it is at equal distance from previous prime (1122004214099) and next prime (1122004214141).

It can be written as a sum of positive squares in 4 ways, for example, as 883190207524 + 238814006596 = 939782^2 + 488686^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1122004214092 and 1122004214101.

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 7 ways as a sum of consecutive naturals, for example, 7930481 + ... + 8070720.

Almost surely, 21122004214120 is an apocalyptic number.

1122004214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122004214120 is an abundant number, since it is smaller than the sum of its proper divisors (1403945533600).

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

1122004214120 is a wasteful number, since it uses less digits than its factorization.

1122004214120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16002965 (or 16002961 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1122004214120 its reverse (214124002211), we get a palindrome (1336128216331).

The spelling of 1122004214120 in words is "one trillion, one hundred twenty-two billion, four million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1753 3506 7012 8765 14024 17530 35060 70120 16001201 32002402 64004804 80006005 128009608 160012010 320024020 640048040 28050105353 56100210706 112200421412 140250526765 224400842824 280501053530 561002107060 1122004214120