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1220011211132 = 2272919119933947
BaseRepresentation
bin10001110000001110010…
…101011011100101111100
311022122001200022222000022
4101300032111123211330
5124442040332224012
62332244310151312
7154100005122320
oct21601625334574
94278050288008
101220011211132
1143044958320a
12178543352538
138b07b3b953c
14430980cb980
1521b0691d472
hex11c0e55b97c

1220011211132 has 96 divisors (see below), whose sum is σ = 2539292958720. Its totient is φ = 501809978880.

The previous prime is 1220011211131. The next prime is 1220011211203. The reversal of 1220011211132 is 2311121100221.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1220011211132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220011211131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309096383 + ... + 309100329.

It is an arithmetic number, because the mean of its divisors is an integer number (26450968320).

Almost surely, 21220011211132 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 1220011211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269646479360).

1220011211132 is an abundant number, since it is smaller than the sum of its proper divisors (1319281747588).

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

1220011211132 is a wasteful number, since it uses less digits than its factorization.

1220011211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6171 (or 6169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1220011211132 its reverse (2311121100221), we get a palindrome (3531132311353).

The spelling of 1220011211132 in words is "one trillion, two hundred twenty billion, eleven million, two hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 58 116 191 203 382 406 764 812 1337 1993 2674 3947 3986 5348 5539 7894 7972 11078 13951 15788 22156 27629 27902 38773 55258 55804 57797 77546 110516 114463 115594 155092 228926 231188 380663 404579 457852 753877 761326 801241 809158 1507754 1522652 1602482 1618316 2664641 3015508 3204964 5277139 5329282 7866371 10554278 10658564 11039227 15732742 21108556 21862433 22078454 31465484 43724866 44156908 55064597 77274589 87449732 110129194 153037031 154549178 220258388 228124759 306074062 309098356 456249518 612148124 912499036 1502476861 1596873313 3004953722 3193746626 6009907444 6387493252 10517338027 21034676054 42069352108 43571828969 87143657938 174287315876 305002802783 610005605566 1220011211132