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121232314401444 = 2234374173809881
BaseRepresentation
bin11011100100001010011001…
…000010010000001010100100
3120220020200210102201211020000
4123210022121002100022210
5111342232234441321234
61105501204551141300
734351513523601141
oct3344123102201244
9526220712654200
10121232314401444
11356a0376a613a4
121171b774974830
13528520972497c
1421d196513d3c8
15e037e6233899
hex6e42990902a4

121232314401444 has 30 divisors (see below), whose sum is σ = 316925216970054. Its totient is φ = 40410771467040.

The previous prime is 121232314401379. The next prime is 121232314401463. The reversal of 121232314401444 is 444104413232121.

121232314401444 is a `hidden beast` number, since 1 + 2 + 1 + 232 + 3 + 14 + 401 + 4 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99551743463844 + 21680570937600 = 9977562^2 + 4656240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 121232314401399 and 121232314401408.

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 9 ways as a sum of consecutive naturals, for example, 187086904617 + ... + 187086905264.

Almost surely, 2121232314401444 is an apocalyptic number.

It is an amenable number.

121232314401444 is an abundant number, since it is smaller than the sum of its proper divisors (195692902568610).

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

121232314401444 is a wasteful number, since it uses less digits than its factorization.

121232314401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374173809897 (or 374173809886 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 121232314401444 its reverse (444104413232121), we get a palindrome (565336727633565).

The spelling of 121232314401444 in words is "one hundred twenty-one trillion, two hundred thirty-two billion, three hundred fourteen million, four hundred one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 374173809881 748347619762 1122521429643 1496695239524 2245042859286 3367564288929 4490085718572 6735128577858 10102692866787 13470257155716 20205385733574 30308078600361 40410771467148 60616157200722 121232314401444