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1132300212120 = 23325711244716693
BaseRepresentation
bin10000011110100010010…
…110100001011110011000
311000020122221121112221100
4100132202112201132120
5122022422323241440
62224101015111400
7144543312000120
oct20364226413630
94006587545840
101132300212120
113a7229a50480
12163545072560
1382a1088ac1c
143cb371d7c80
151e6c14de230
hex107a25a1798

1132300212120 has 384 divisors, whose sum is σ = 4590171555840. Its totient is φ = 235172920320.

The previous prime is 1132300212107. The next prime is 1132300212149. The reversal of 1132300212120 is 212120032311.

1132300212120 is a `hidden beast` number, since 1 + 1 + 32 + 300 + 212 + 120 = 666.

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 = 1132300212093 and 1132300212102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67822494 + ... + 67839186.

It is an arithmetic number, because the mean of its divisors is an integer number (11953571760).

Almost surely, 21132300212120 is an apocalyptic number.

1132300212120 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 1132300212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295085777920).

1132300212120 is an abundant number, since it is smaller than the sum of its proper divisors (3457871343720).

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

1132300212120 is a wasteful number, since it uses less digits than its factorization.

1132300212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19175 (or 19168 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1132300212120 its reverse (212120032311), we get a palindrome (1344420244431).

The spelling of 1132300212120 in words is "one trillion, one hundred thirty-two billion, three hundred million, two hundred twelve thousand, one hundred twenty".