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1121111012200 = 235217329738533
BaseRepresentation
bin10000010100000111011…
…011000111001101101000
310222011210011011022012111
4100110013123013031220
5121332013404342300
62215010431452104
7143666114241034
oct20240733071550
93864704138174
101121111012200
113a2507a36a13
12161341987034
13819496bb07a
143c3951571c4
151e26902a9ba
hex105076c7368

1121111012200 has 48 divisors (see below), whose sum is σ = 2759911529580. Its totient is φ = 422065320960.

The previous prime is 1121111012167. The next prime is 1121111012201. The reversal of 1121111012200 is 22101111211.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 185414637604 + 935696374596 = 430598^2 + 967314^2 .

It is a super-2 number, since 2×11211110122002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1121111012201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164865867 + ... + 164872666.

Almost surely, 21121111012200 is an apocalyptic number.

1121111012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121111012200 is an abundant number, since it is smaller than the sum of its proper divisors (1638800517380).

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

1121111012200 is a wasteful number, since it uses less digits than its factorization.

1121111012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329738566 (or 329738557 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121111012200 its reverse (22101111211), we get a palindrome (1143212123411).

The spelling of 1121111012200 in words is "one trillion, one hundred twenty-one billion, one hundred eleven million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 329738533 659477066 1318954132 1648692665 2637908264 3297385330 5605555061 6594770660 8243463325 11211110122 13189541320 16486926650 22422220244 28027775305 32973853300 44844440488 56055550610 65947706600 112111101220 140138876525 224222202440 280277753050 560555506100 1121111012200