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121411244412 = 22342711382753
BaseRepresentation
bin111000100010010101…
…1001001000101111100
3102121101100200020220000
41301010223021011330
53442122234310122
6131435304154300
711525453356413
oct1610453110574
9377340606800
10121411244412
1147543533a17
121b644468990
13b5ab6a1c33
145c3a94447a
153258d1c0ac
hex1c44ac917c

121411244412 has 60 divisors (see below), whose sum is σ = 318564397536. Its totient is φ = 40321048320.

The previous prime is 121411244399. The next prime is 121411244413. The reversal of 121411244412 is 214442114121.

121411244412 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 1 + 1 + 244 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121411244413) 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 19 ways as a sum of consecutive naturals, for example, 603573 + ... + 779180.

Almost surely, 2121411244412 is an apocalyptic number.

121411244412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121411244412 is an abundant number, since it is smaller than the sum of its proper divisors (197153153124).

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

121411244412 is a wasteful number, since it uses less digits than its factorization.

121411244412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383040 (or 1383029 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 121411244412 its reverse (214442114121), we get a palindrome (335853358533).

The spelling of 121411244412 in words is "one hundred twenty-one billion, four hundred eleven million, two hundred forty-four thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 271 324 542 813 1084 1626 2439 3252 4878 7317 9756 14634 21951 29268 43902 87804 1382753 2765506 4148259 5531012 8296518 12444777 16593036 24889554 37334331 49779108 74668662 112002993 149337324 224005986 374726063 448011972 749452126 1124178189 1498904252 2248356378 3372534567 4496712756 6745069134 10117603701 13490138268 20235207402 30352811103 40470414804 60705622206 121411244412