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1202222202112 = 28712931597
BaseRepresentation
bin10001011111101010000…
…001101111110100000000
311020221010221011200012101
4101133222001233310000
5124144122340431422
62320143202040144
7152600121052261
oct21375201576400
94227127150171
101202222202112
11423950100468
12174bb9949054
13894a4ac0bb9
144228b704968
1521414d40c27
hex117ea06fd00

1202222202112 has 54 divisors (see below), whose sum is σ = 2434026153314. Its totient is φ = 592644111360.

The previous prime is 1202222202107. The next prime is 1202222202157. The reversal of 1202222202112 is 2112022222021.

It can be written as a sum of positive squares in only one way, i.e., 838352659456 + 363869542656 = 915616^2 + 603216^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1202222202112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 824698 + ... + 1756294.

Almost surely, 21202222202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1202222202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217013076657).

1202222202112 is an abundant number, since it is smaller than the sum of its proper divisors (1231803951202).

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

1202222202112 is an frugal number, since it uses more digits than its factorization.

1202222202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931755 (or 931670 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 1202222202112 its reverse (2112022222021), we get a palindrome (3314244424133).

The spelling of 1202222202112 in words is "one trillion, two hundred two billion, two hundred twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 5041 9088 10082 18176 20164 40328 80656 161312 322624 645248 931597 1290496 1863194 3726388 7452776 14905552 29811104 59622208 66143387 119244416 132286774 238488832 264573548 529147096 1058294192 2116588384 4233176768 4696180477 8466353536 9392360954 16932707072 18784721908 37569443816 75138887632 150277775264 300555550528 601111101056 1202222202112