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132412121120 = 2558179101183
BaseRepresentation
bin111101101010001100…
…0001010000000100000
3110122210000202200202002
41323110120022000200
54132140000333440
6140455043143132
712365203313306
oct1732430120040
9418700680662
10132412121120
1151179210464
12217b4674aa8
13c642845636
1465a19a2276
15369e9d1115
hex1ed460a020

132412121120 has 48 divisors (see below), whose sum is σ = 312864975360. Its totient is φ = 52957849344.

The previous prime is 132412121053. The next prime is 132412121137. The reversal of 132412121120 is 21121214231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132412121092 and 132412121101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1258049 + ... + 1359231.

It is an arithmetic number, because the mean of its divisors is an integer number (6518020320).

Almost surely, 2132412121120 is an apocalyptic number.

132412121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132412121120 is an abundant number, since it is smaller than the sum of its proper divisors (180452854240).

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

132412121120 is a wasteful number, since it uses less digits than its factorization.

132412121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109377 (or 109369 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 132412121120 its reverse (21121214231), we get a palindrome (153533335351).

The spelling of 132412121120 in words is "one hundred thirty-two billion, four hundred twelve million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 8179 16358 32716 40895 65432 81790 101183 130864 163580 202366 261728 327160 404732 505915 654320 809464 1011830 1308640 1618928 2023660 3237856 4047320 8094640 16189280 827575757 1655151514 3310303028 4137878785 6620606056 8275757570 13241212112 16551515140 26482424224 33103030280 66206060560 132412121120