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121772181804 = 223713261742611
BaseRepresentation
bin111000101101000110…
…0000000100100101100
3102122022111211202220120
41301122030000210230
53443342134304204
6131535200244540
711540425316130
oct1613214004454
9378274752816
10121772181804
1147709249589
121b725310750
13b6383b7560
145c7285b3c0
15327a8666d9
hex1c5a30092c

121772181804 has 96 divisors (see below), whose sum is σ = 349846565376. Its totient is φ = 32102714880.

The previous prime is 121772181793. The next prime is 121772181829. The reversal of 121772181804 is 408181277121.

It is a super-3 number, since 3×1217721818043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2836459 + ... + 2879069.

It is an arithmetic number, because the mean of its divisors is an integer number (3644235056).

Almost surely, 2121772181804 is an apocalyptic number.

121772181804 is a gapful number since it is divisible by the number (14) 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 121772181804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174923282688).

121772181804 is an abundant number, since it is smaller than the sum of its proper divisors (228074383572).

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

121772181804 is a wasteful number, since it uses less digits than its factorization.

121772181804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45255 (or 45253 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 42.

The spelling of 121772181804 in words is "one hundred twenty-one billion, seven hundred seventy-two million, one hundred eighty-one thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 2617 5234 7851 10468 15702 18319 31404 34021 36638 42611 54957 68042 73276 85222 102063 109914 127833 136084 170444 204126 219828 238147 255666 298277 408252 476294 511332 553943 596554 714441 894831 952588 1107886 1193108 1428882 1661829 1789662 2215772 2857764 3323658 3579324 3877601 6647316 7755202 11632803 15510404 23265606 46531212 111512987 223025974 334538961 446051948 669077922 780590909 1338155844 1449668831 1561181818 2341772727 2899337662 3122363636 4349006493 4683545454 5798675324 8698012986 9367090908 10147681817 17396025972 20295363634 30443045451 40590727268 60886090902 121772181804