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1221200131340 = 225721789696547
BaseRepresentation
bin10001110001010101001…
…100110011010100001100
311022202010112111100221002
4101301111030303110030
5130002004213200330
62333002300555432
7154141322563100
oct21612514632414
94282115440832
101221200131340
114309a97015a2
12178815552b78
138b20a801817
144316bd75900
1521b75ebae45
hex11c5533350c

1221200131340 has 72 divisors (see below), whose sum is σ = 2984889282480. Its totient is φ = 418462547328.

The previous prime is 1221200131259. The next prime is 1221200131343. The reversal of 1221200131340 is 431310021221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1221200131343) 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, 1404947 + ... + 2101493.

It is an arithmetic number, because the mean of its divisors is an integer number (41456795590).

Almost surely, 21221200131340 is an apocalyptic number.

1221200131340 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 1221200131340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492444641240).

1221200131340 is an abundant number, since it is smaller than the sum of its proper divisors (1763689151140).

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

1221200131340 is a wasteful number, since it uses less digits than its factorization.

1221200131340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698359 (or 698350 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1221200131340 its reverse (431310021221), we get a palindrome (1652510152561).

The spelling of 1221200131340 in words is "one trillion, two hundred twenty-one billion, two hundred million, one hundred thirty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1789 3578 7156 8945 12523 17890 25046 35780 50092 62615 87661 125230 175322 250460 350644 438305 696547 876610 1393094 1753220 2786188 3482735 4875829 6965470 9751658 13930940 19503316 24379145 34130803 48758290 68261606 97516580 136523212 170654015 341308030 682616060 1246122583 2492245166 4984490332 6230612915 8722858081 12461225830 17445716162 24922451660 34891432324 43614290405 61060006567 87228580810 122120013134 174457161620 244240026268 305300032835 610600065670 1221200131340