Search a number
-
+
1221111456040 = 23572679298747
BaseRepresentation
bin10001110001001111111…
…010100010000100101000
311022201220100122012021201
4101301033322202010220
5130001314013043130
62332545412213544
7154136165055400
oct21611772420450
94281810565251
101221111456040
11430963645523
121787ab90a2b4
138b1c5324828
1443160291800
1521b6d301bca
hex11c4fea2128

1221111456040 has 96 divisors (see below), whose sum is σ = 3243775252320. Its totient is φ = 412417982592.

The previous prime is 1221111455989. The next prime is 1221111456041. The reversal of 1221111456040 is 406541111221.

It is a super-2 number, since 2×12211114560402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (1221111456041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4518054 + ... + 4780693.

It is an arithmetic number, because the mean of its divisors is an integer number (33789325545).

Almost surely, 21221111456040 is an apocalyptic number.

1221111456040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221111456040 is an abundant number, since it is smaller than the sum of its proper divisors (2022663796280).

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

1221111456040 is a wasteful number, since it uses less digits than its factorization.

1221111456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9298839 (or 9298828 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

Adding to 1221111456040 its reverse (406541111221), we get a palindrome (1627652567261).

The spelling of 1221111456040 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, four hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 134 140 196 245 268 280 335 392 469 490 536 670 938 980 1340 1876 1960 2345 2680 3283 3752 4690 6566 9380 13132 16415 18760 26264 32830 65660 131320 9298747 18597494 37194988 46493735 65091229 74389976 92987470 130182458 185974940 260364916 325456145 371949880 455638603 520729832 623016049 650912290 911277206 1246032098 1301824580 1822554412 2278193015 2492064196 2603649160 3115080245 3645108824 4361112343 4556386030 4984128392 6230160490 8722224686 9112772060 12460320980 17444449372 18225544120 21805561715 24920641960 30527786401 34888898744 43611123430 61055572802 87222246860 122111145604 152638932005 174444493720 244222291208 305277864010 610555728020 1221111456040