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121441412142 = 232416110132663
BaseRepresentation
bin111000100011001111…
…0001110010000101110
3102121110110102221020100
41301012132032100232
53442203000142032
6131442302531530
711526300654111
oct1610636162056
9377413387210
10121441412142
1147559569426
121b652596ba6
13b5b4a0536b
145c40958578
15325b7ca97c
hex1c4678e42e

121441412142 has 96 divisors (see below), whose sum is σ = 274332816576. Its totient is φ = 38792793600.

The previous prime is 121441412107. The next prime is 121441412153. The reversal of 121441412142 is 241214144121.

121441412142 is a `hidden beast` number, since 1 + 2 + 1 + 441 + 4 + 1 + 214 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45601903 + ... + 45604565.

It is an arithmetic number, because the mean of its divisors is an integer number (2857633506).

Almost surely, 2121441412142 is an apocalyptic number.

121441412142 is an abundant number, since it is smaller than the sum of its proper divisors (152891404434).

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

121441412142 is a wasteful number, since it uses less digits than its factorization.

121441412142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3786 (or 3783 counting only the distinct ones).

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

Adding to 121441412142 its reverse (241214144121), we get a palindrome (362655556263).

The spelling of 121441412142 in words is "one hundred twenty-one billion, four hundred forty-one million, four hundred twelve thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 41 61 82 122 123 183 246 366 369 549 738 1013 1098 2026 2501 2663 3039 5002 5326 6078 7503 7989 9117 15006 15978 18234 22509 23967 41533 45018 47934 61793 83066 109183 123586 124599 162443 185379 218366 249198 324886 327549 370758 373797 487329 556137 655098 747594 974658 982647 1112274 1461987 1965294 2533513 2697619 2923974 5067026 5395238 6660163 7600539 8092857 13320326 15201078 16185714 19980489 22801617 24278571 39960978 45603234 48557142 59941467 110602379 119882934 164554759 221204758 329109518 331807137 493664277 663614274 987328554 995421411 1480992831 1990842822 2961985662 6746745119 13493490238 20240235357 40480470714 60720706071 121441412142