Search a number
-
+
121456151040 = 293572322747
BaseRepresentation
bin111000100011101011…
…0011100101000000000
3102121111111011202012110
41301013112130220000
53442220233313130
6131443550455320
711526540151500
oct1610726345000
9377444152173
10121456151040
1147566915a34
121b657504540
13b5b7a95bc3
145c428b3a00
15325cc3cab0
hex1c4759ca00

121456151040 has 240 divisors, whose sum is σ = 451674207072. Its totient is φ = 27761319936.

The previous prime is 121456150999. The next prime is 121456151051. The reversal of 121456151040 is 40151654121.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 121456150989 and 121456151007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214947 + ... + 537693.

Almost surely, 2121456151040 is an apocalyptic number.

121456151040 is a gapful number since it is divisible by the number (10) 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 121456151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225837103536).

121456151040 is an abundant number, since it is smaller than the sum of its proper divisors (330218056032).

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

121456151040 is an equidigital number, since it uses as much as digits as its factorization.

121456151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322787 (or 322764 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 121456151040 in words is "one hundred twenty-one billion, four hundred fifty-six million, one hundred fifty-one thousand, forty".