Search a number
-
+
1220121222112 = 25137361365543
BaseRepresentation
bin10001110000010100111…
…001000101101111100000
311022122100100100002201001
4101300110321011233200
5124442302013101422
62332303240121344
7154102512161122
oct21602471055740
94278310302631
101220121222112
114304a5692081
12178574166254
138b0981268b0
14430a8967212
1521b113ee227
hex11c14e45be0

1220121222112 has 96 divisors (see below), whose sum is σ = 2626646436288. Its totient is φ = 554504196096.

The previous prime is 1220121222091. The next prime is 1220121222127. The reversal of 1220121222112 is 2112221210221.

It is a self number, because there is not a number n which added to its sum of digits gives 1220121222112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18582813 + ... + 18648355.

It is an arithmetic number, because the mean of its divisors is an integer number (27360900378).

Almost surely, 21220121222112 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 1220121222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313323218144).

1220121222112 is an abundant number, since it is smaller than the sum of its proper divisors (1406525214176).

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

1220121222112 is a wasteful number, since it uses less digits than its factorization.

1220121222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66252 (or 66244 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 1220121222112 its reverse (2112221210221), we get a palindrome (3332342432333).

The spelling of 1220121222112 in words is "one trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 73 104 146 208 292 416 584 613 949 1168 1226 1898 2336 2452 3796 4904 7592 7969 9808 15184 15938 19616 30368 31876 44749 63752 65543 89498 127504 131086 178996 255008 262172 357992 524344 581737 715984 852059 1048688 1163474 1431968 1704118 2097376 2326948 3408236 4653896 4784639 6816472 9307792 9569278 13632944 18615584 19138556 27265888 38277112 40177859 62200307 76554224 80355718 124400614 153108448 160711436 248801228 321422872 497602456 522312167 642845744 995204912 1044624334 1285691488 1990409824 2089248668 2932983707 4178497336 5865967414 8356994672 11731934828 16713989344 23463869656 38128788191 46927739312 76257576382 93855478624 152515152764 305030305528 610060611056 1220121222112