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1121203221120 = 27325375260901
BaseRepresentation
bin10000010100001100111…
…010110111001010000000
310222012000120200000001200
4100110030322313022000
5121332211011033440
62215023524101200
7144001314063513
oct20241472671200
93865016600050
101121203221120
113a2554a96934
12161368834800
1381962834568
143c3a34bad7a
151e272191c30
hex1050ceb7280

1121203221120 has 192 divisors, whose sum is σ = 3976294949640. Its totient is φ = 290906726400.

The previous prime is 1121203221119. The next prime is 1121203221143. The reversal of 1121203221120 is 211223021211.

1121203221120 is a `hidden beast` number, since 1 + 121 + 203 + 221 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1077294533184 + 43908687936 = 1037928^2 + 209544^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11212032211203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1121203221093 and 1121203221102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2417331 + ... + 2843570.

Almost surely, 21121203221120 is an apocalyptic number.

1121203221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121203221120 is an abundant number, since it is smaller than the sum of its proper divisors (2855091728520).

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

1121203221120 is a wasteful number, since it uses less digits than its factorization.

1121203221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5260963 (or 5260948 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1121203221120 its reverse (211223021211), we get a palindrome (1332426242331).

The spelling of 1121203221120 in words is "one trillion, one hundred twenty-one billion, two hundred three million, two hundred twenty-one thousand, one hundred twenty".