Search a number
-
+
121403830985712 = 243311418328126717
BaseRepresentation
bin11011100110101010001000…
…001110000110001111110000
3120220212002111201110001212000
4123212222020032012033300
5111403040021213020322
61110112052222534000
734400065051525602
oct3346521016061760
9526762451401760
10121403830985712
11357570916667a0
1211748a61437300
1352984419297a2
1421d9d96395172
15e07ed3ca23ac
hex6e6a883863f0

121403830985712 has 640 divisors, whose sum is σ = 395534674160640. Its totient is φ = 35331803136000.

The previous prime is 121403830985659. The next prime is 121403830985729. The reversal of 121403830985712 is 217589038304121.

121403830985712 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 0 + 38 + 30 + 9 + 8 + 571 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4544053378 + ... + 4544080094.

It is an arithmetic number, because the mean of its divisors is an integer number (618022928376).

Almost surely, 2121403830985712 is an apocalyptic number.

121403830985712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121403830985712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197767337080320).

121403830985712 is an abundant number, since it is smaller than the sum of its proper divisors (274130843174928).

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

121403830985712 is a wasteful number, since it uses less digits than its factorization.

121403830985712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27150 (or 27138 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 121403830985712 in words is "one hundred twenty-one trillion, four hundred three billion, eight hundred thirty million, nine hundred eighty-five thousand, seven hundred twelve".