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12020421444400 = 2452252111920291
BaseRepresentation
bin1010111011101011100011…
…1100110100001100110000
31120120010210211121222002001
42232322320330310030300
53033420310342210100
641322034432303344
72350306151304205
oct256727074641460
946503724558061
1012020421444400
113914917596286
12142177a9a1b54
136926a04a67b5
142d7b11c4bcac
1515ca2ab88d6a
hexaeeb8f34330

12020421444400 has 60 divisors (see below), whose sum is σ = 28890520343464. Its totient is φ = 4806260928000.

The previous prime is 12020421444397. The next prime is 12020421444401. The reversal of 12020421444400 is 444412402021.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (12020421444401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4951746 + ... + 6968545.

Almost surely, 212020421444400 is an apocalyptic number.

12020421444400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12020421444400 is an abundant number, since it is smaller than the sum of its proper divisors (16870098899064).

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

12020421444400 is a wasteful number, since it uses less digits than its factorization.

12020421444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11922830 (or 11922819 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 12020421444400 its reverse (444412402021), we get a palindrome (12464833846421).

The spelling of 12020421444400 in words is "twelve trillion, twenty billion, four hundred twenty-one million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 2521 5042 10084 12605 20168 25210 40336 50420 63025 100840 126050 201680 252100 504200 1008400 11920291 23840582 47681164 59601455 95362328 119202910 190724656 238405820 298007275 476811640 596014550 953623280 1192029100 2384058200 4768116400 30051053611 60102107222 120204214444 150255268055 240408428888 300510536110 480816857776 601021072220 751276340275 1202042144440 1502552680550 2404084288880 3005105361100 6010210722200 12020421444400