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1001200121120 = 2556257500757
BaseRepresentation
bin11101001000111000010…
…11010111010100100000
310112201021100122220011102
432210130023113110200
5112400424212333440
62043540041133532
7132222446420303
oct16443413272440
93481240586142
101001200121120
11356674404731
12142057a8a2a8
1373549b03194
143665b9a8b3a
151b09bcc7b15
hexe91c2d7520

1001200121120 has 24 divisors (see below), whose sum is σ = 2365335286524. Its totient is φ = 400480048384.

The previous prime is 1001200121113. The next prime is 1001200121137. The reversal of 1001200121120 is 211210021001.

It can be written as a sum of positive squares in 2 ways, for example, as 1001176345744 + 23775376 = 1000588^2 + 4876^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3128750219 + ... + 3128750538.

Almost surely, 21001200121120 is an apocalyptic number.

1001200121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001200121120 is an abundant number, since it is smaller than the sum of its proper divisors (1364135165404).

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

1001200121120 is an equidigital number, since it uses as much as digits as its factorization.

1001200121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257500772 (or 6257500764 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1001200121120 its reverse (211210021001), we get a palindrome (1212410142121).

The spelling of 1001200121120 in words is "one trillion, one billion, two hundred million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 6257500757 12515001514 25030003028 31287503785 50060006056 62575007570 100120012112 125150015140 200240024224 250300030280 500600060560 1001200121120