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121114242432 = 2732105133891
BaseRepresentation
bin111000011001011111…
…0001010110110000000
3102120121122210222202200
41300302332022312000
53441020221224212
6131350014313200
711515216034421
oct1606276126600
9376548728680
10121114242432
1147400917a37
121b580ab8800
13b561cb3911
145c0d311648
15323cc016dc
hex1c32f8ad80

121114242432 has 48 divisors (see below), whose sum is σ = 348518851980. Its totient is φ = 40371413760.

The previous prime is 121114242407. The next prime is 121114242437. The reversal of 121114242432 is 234242411121.

121114242432 is a `hidden beast` number, since 1 + 211 + 1 + 424 + 24 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 121114242396 and 121114242405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121114242437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52565794 + ... + 52568097.

Almost surely, 2121114242432 is an apocalyptic number.

121114242432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121114242432 is an abundant number, since it is smaller than the sum of its proper divisors (227404609548).

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

121114242432 is a wasteful number, since it uses less digits than its factorization.

121114242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105133911 (or 105133896 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 121114242432 its reverse (234242411121), we get a palindrome (355356653553).

The spelling of 121114242432 in words is "one hundred twenty-one billion, one hundred fourteen million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 105133891 210267782 315401673 420535564 630803346 841071128 946205019 1261606692 1682142256 1892410038 2523213384 3364284512 3784820076 5046426768 6728569024 7569640152 10092853536 13457138048 15139280304 20185707072 30278560608 40371414144 60557121216 121114242432