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141212121233424 = 243174116731380749
BaseRepresentation
bin100000000110111010000010…
…010100101111100000010000
3200111222202011112012002220220
4200012322002110233200100
5122002104411013432144
61220155541455433040
741513145001545063
oct4006720224574020
9614882145162826
10141212121233424
1140aa37a705341a
1213a07a31825780
1360a43272c9377
1426c29bb5908da
15114d3b83e3919
hex806e8252f810

141212121233424 has 320 divisors, whose sum is σ = 399323566656000. Its totient is φ = 42824708259840.

The previous prime is 141212121233419. The next prime is 141212121233467. The reversal of 141212121233424 is 424332121212141.

It is a happy number.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1748738202 + ... + 1748818950.

It is an arithmetic number, because the mean of its divisors is an integer number (1247886145800).

Almost surely, 2141212121233424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141212121233424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199661783328000).

141212121233424 is an abundant number, since it is smaller than the sum of its proper divisors (258111445422576).

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

141212121233424 is a wasteful number, since it uses less digits than its factorization.

141212121233424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81298 (or 81292 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

Adding to 141212121233424 its reverse (424332121212141), we get a palindrome (565544242445565).

The spelling of 141212121233424 in words is "one hundred forty-one trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thirty-three thousand, four hundred twenty-four".