Search a number
-
+
1322212331120 = 245971297131371
BaseRepresentation
bin10011001111011001111…
…111110000111001110000
311200101212020202210020112
4103033121333300321300
5133130342324043440
62451225503000452
7164345440243262
oct23173177607160
94611766683215
101322212331120
1146a82443333a
12194306299128
13978b7c30335
1447dd15dbb32
15245d8ee6965
hex133d9ff0e70

1322212331120 has 80 divisors (see below), whose sum is σ = 3108254163168. Its totient is φ = 523024957440.

The previous prime is 1322212331107. The next prime is 1322212331123. The reversal of 1322212331120 is 211332122231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1322212331123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999035 + ... + 10130405.

Almost surely, 21322212331120 is an apocalyptic number.

1322212331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1322212331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554127081584).

1322212331120 is an abundant number, since it is smaller than the sum of its proper divisors (1786041832048).

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

1322212331120 is a wasteful number, since it uses less digits than its factorization.

1322212331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132778 (or 132772 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1322212331120 its reverse (211332122231), we get a palindrome (1533544453351).

The spelling of 1322212331120 in words is "one trillion, three hundred twenty-two billion, two hundred twelve million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1297 1552 1940 2594 3880 5188 6485 7760 10376 12970 20752 25940 51880 103760 125809 131371 251618 262742 503236 525484 629045 656855 1006472 1050968 1258090 1313710 2012944 2101936 2516180 2627420 5032360 5254840 10064720 10509680 12742987 25485974 50971948 63714935 101943896 127429870 170388187 203887792 254859740 340776374 509719480 681552748 851940935 1019438960 1363105496 1703881870 2726210992 3407763740 6815527480 13631054960 16527654139 33055308278 66110616556 82638270695 132221233112 165276541390 264442466224 330553082780 661106165560 1322212331120