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121160100432 = 24372291574653
BaseRepresentation
bin111000011010110110…
…1000110101001010000
3102120201212002211010010
41300311231012221100
53441113441203212
6131354333234520
711516313601260
oct1606555065120
9376655084103
10121160100432
1147424799808
121b594332a40
13b56b64b927
145c1544b7a0
153241c5e03c
hex1c35b46a50

121160100432 has 80 divisors (see below), whose sum is σ = 359273056640. Its totient is φ = 34465982976.

The previous prime is 121160100389. The next prime is 121160100449. The reversal of 121160100432 is 234001061121.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 121160100399 and 121160100408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 710383 + ... + 864270.

It is an arithmetic number, because the mean of its divisors is an integer number (4490913208).

Almost surely, 2121160100432 is an apocalyptic number.

121160100432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

121160100432 is an abundant number, since it is smaller than the sum of its proper divisors (238112956208).

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

121160100432 is a wasteful number, since it uses less digits than its factorization.

121160100432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574900 (or 1574894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 121160100432 its reverse (234001061121), we get a palindrome (355161161553).

The spelling of 121160100432 in words is "one hundred twenty-one billion, one hundred sixty million, one hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6412 9618 10992 12824 19236 25648 38472 76944 1574653 3149306 4723959 6298612 9447918 11022571 12597224 18895836 22045142 25194448 33067713 37791672 44090284 66135426 75583344 88180568 132270852 176361136 264541704 360595537 529083408 721191074 1081786611 1442382148 2163573222 2524168759 2884764296 4327146444 5048337518 5769528592 7572506277 8654292888 10096675036 15145012554 17308585776 20193350072 30290025108 40386700144 60580050216 121160100432