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1225181468000 = 2553743756481
BaseRepresentation
bin10001110101000010100…
…000011001010101100000
311100010102000002020002102
4101311002200121111200
5130033132423434000
62334501322505532
7154342065435440
oct21650240312540
94303360066072
101225181468000
11432661aa8776
121795469652a8
138b6c35ba329
1443428a2c120
1521d0a7a63d5
hex11d42819560

1225181468000 has 96 divisors (see below), whose sum is σ = 3440309640768. Its totient is φ = 420062208000.

The previous prime is 1225181467931. The next prime is 1225181468003. The reversal of 1225181468000 is 8641815221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1225181468003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21850241 + ... + 21906240.

It is an arithmetic number, because the mean of its divisors is an integer number (35836558758).

Almost surely, 21225181468000 is an apocalyptic number.

1225181468000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225181468000 is an abundant number, since it is smaller than the sum of its proper divisors (2215128172768).

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

1225181468000 is an equidigital number, since it uses as much as digits as its factorization.

1225181468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43756513 (or 43756495 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 38.

The spelling of 1225181468000 in words is "one trillion, two hundred twenty-five billion, one hundred eighty-one million, four hundred sixty-eight thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 14000 28000 43756481 87512962 175025924 218782405 306295367 350051848 437564810 612590734 700103696 875129620 1093912025 1225181468 1400207392 1531476835 1750259240 2187824050 2450362936 3062953670 3500518480 4375648100 4900725872 5469560125 6125907340 7001036960 7657384175 8751296200 9801451744 10939120250 12251814680 15314768350 17502592400 21878240500 24503629360 30629536700 35005184800 38286920875 43756481000 49007258720 61259073400 76573841750 87512962000 122518146800 153147683500 175025924000 245036293600 306295367000 612590734000 1225181468000