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1225124222340 = 2235127397404981
BaseRepresentation
bin10001110100111111000…
…110000001010110000100
311100010021000100211210210
4101310333012001112010
5130033023300103330
62334451515515420
7154340502032454
oct21647706012604
94303230324723
101225124222340
11432632759207
1217952b758b70
138b6b4795c65
14434211a9d64
1521d057498b0
hex11d3f181584

1225124222340 has 96 divisors (see below), whose sum is σ = 3466075705344. Its totient is φ = 323310113280.

The previous prime is 1225124222299. The next prime is 1225124222347. The reversal of 1225124222340 is 432224215221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1225124222298 and 1225124222307.

It is not an unprimeable number, because it can be changed into a prime (1225124222347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2822650 + ... + 3227630.

It is an arithmetic number, because the mean of its divisors is an integer number (36104955264).

Almost surely, 21225124222340 is an apocalyptic number.

1225124222340 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 1225124222340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733037852672).

1225124222340 is an abundant number, since it is smaller than the sum of its proper divisors (2240951483004).

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

1225124222340 is a wasteful number, since it uses less digits than its factorization.

1225124222340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405517 (or 405515 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 1225124222340 its reverse (432224215221), we get a palindrome (1657348437561).

The spelling of 1225124222340 in words is "one trillion, two hundred twenty-five billion, one hundred twenty-four million, two hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 397 508 635 762 794 1191 1270 1524 1588 1905 1985 2382 2540 3810 3970 4764 5955 7620 7940 11910 23820 50419 100838 151257 201676 252095 302514 404981 504190 605028 756285 809962 1008380 1214943 1512570 1619924 2024905 2429886 3025140 4049810 4859772 6074715 8099620 12149430 24298860 51432587 102865174 154297761 160777457 205730348 257162935 308595522 321554914 482332371 514325870 617191044 643109828 771488805 803887285 964664742 1028651740 1542977610 1607774570 1929329484 2411661855 3085955220 3215549140 4823323710 9646647420 20418737039 40837474078 61256211117 81674948156 102093685195 122512422234 204187370390 245024844468 306281055585 408374740780 612562111170 1225124222340