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1221241404040 = 23572623082349
BaseRepresentation
bin10001110001010111101…
…010001111101010001000
311022202020102011020102121
4101301113222033222020
5130002100244412130
62333010333341024
7154142333441500
oct21612752175210
94282212136377
101221241404040
11430a1aa31369
12178827337774
138b216222738
144317363aa00
1521b7991ed7a
hex11c57a8fa88

1221241404040 has 48 divisors (see below), whose sum is σ = 3196412455500. Its totient is φ = 418711337856.

The previous prime is 1221241404017. The next prime is 1221241404109. The reversal of 1221241404040 is 404041421221.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1138928646436 + 82312757604 = 1067206^2 + 286902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1221241403996 and 1221241404014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311539215 + ... + 311543134.

Almost surely, 21221241404040 is an apocalyptic number.

1221241404040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221241404040 is an abundant number, since it is smaller than the sum of its proper divisors (1975171051460).

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

1221241404040 is a wasteful number, since it uses less digits than its factorization.

1221241404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623082374 (or 623082363 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 1221241404040 its reverse (404041421221), we get a palindrome (1625282825261).

The spelling of 1221241404040 in words is "one trillion, two hundred twenty-one billion, two hundred forty-one million, four hundred four thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 623082349 1246164698 2492329396 3115411745 4361576443 4984658792 6230823490 8723152886 12461646980 17446305772 21807882215 24923293960 30531035101 34892611544 43615764430 61062070202 87231528860 122124140404 152655175505 174463057720 244248280808 305310351010 610620702020 1221241404040