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1121331003120 = 243251557404171
BaseRepresentation
bin10000010100010100100…
…010010011111011110000
310222012100111010000000100
4100110110202103323300
5121332441214044440
62215044330552400
7144004425156006
oct20242442237360
93865314100010
101121331003120
113a2610133399
121613a3598700
1381983154603
143c3b6460a76
151e27d4d3230
hex10514893ef0

1121331003120 has 60 divisors (see below), whose sum is σ = 3765803287896. Its totient is φ = 299021600640.

The previous prime is 1121331003043. The next prime is 1121331003137. The reversal of 1121331003120 is 213001331211.

1121331003120 is a `hidden beast` number, since 1 + 1 + 21 + 331 + 0 + 0 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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 = 1121331003093 and 1121331003102.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 778701366 + ... + 778702805.

Almost surely, 21121331003120 is an apocalyptic number.

1121331003120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121331003120 is an abundant number, since it is smaller than the sum of its proper divisors (2644472284776).

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

1121331003120 is a wasteful number, since it uses less digits than its factorization.

1121331003120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557404190 (or 1557404181 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1121331003120 its reverse (213001331211), we get a palindrome (1334332334331).

The spelling of 1121331003120 in words is "one trillion, one hundred twenty-one billion, three hundred thirty-one million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1557404171 3114808342 4672212513 6229616684 7787020855 9344425026 12459233368 14016637539 15574041710 18688850052 23361062565 24918466736 28033275078 31148083420 37377700104 46722125130 56066550156 62296166840 70083187695 74755400208 93444250260 112133100312 124592333680 140166375390 186888500520 224266200624 280332750780 373777001040 560665501560 1121331003120