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12011131422040 = 235647992346771
BaseRepresentation
bin1010111011001000111100…
…1110001100010101011000
31120112020211101210221011211
42232302033032030111120
53033242244121001130
641313500531032504
72346530014361002
oct256621716142530
946466741727154
1012011131422040
11391098a615a53
12141ba0773b734
1369184c91004a
142d74b00dd372
1515c6852bea2a
hexaec8f38c558

12011131422040 has 64 divisors (see below), whose sum is σ = 27070121928960. Its totient is φ = 4796440851840.

The previous prime is 12011131422011. The next prime is 12011131422047. The reversal of 12011131422040 is 4022413111021.

12011131422040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011131422047) 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, 256783855 + ... + 256830625.

It is an arithmetic number, because the mean of its divisors is an integer number (422970655140).

Almost surely, 212011131422040 is an apocalyptic number.

12011131422040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12011131422040 is an abundant number, since it is smaller than the sum of its proper divisors (15058990506920).

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

12011131422040 is a wasteful number, since it uses less digits than its factorization.

12011131422040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57352 (or 57348 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 12011131422040 its reverse (4022413111021), we get a palindrome (16033544533061).

The spelling of 12011131422040 in words is "twelve trillion, eleven billion, one hundred thirty-one million, four hundred twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 647 1294 2588 3235 5176 6470 9923 12940 19846 25880 39692 46771 49615 79384 93542 99230 187084 198460 233855 374168 396920 467710 935420 1870840 6420181 12840362 25680724 30260837 32100905 51361448 60521674 64201810 121043348 128403620 151304185 242086696 256807240 302608370 464108633 605216740 928217266 1210433480 1856434532 2320543165 3712869064 4641086330 9282172660 18564345320 300278285551 600556571102 1201113142204 1501391427755 2402226284408 3002782855510 6005565711020 12011131422040