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121274496 = 27357557
BaseRepresentation
bin1110011101010…
…00000010000000
322110012101100000
413032220002000
5222021240441
620011200000
73001546650
oct716500200
9273171300
10121274496
1162502362
1234746000
131c182075
141216c360
15a9a82b6
hex73a8080

121274496 has 192 divisors, whose sum is σ = 414348480. Its totient is φ = 34587648.

The previous prime is 121274471. The next prime is 121274497. The reversal of 121274496 is 694472121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 121274496.

It is not an unprimeable number, because it can be changed into a prime (121274497) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217450 + ... + 218006.

It is an arithmetic number, because the mean of its divisors is an integer number (2158065).

Almost surely, 2121274496 is an apocalyptic number.

121274496 is a gapful number since it is divisible by the number (16) 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 121274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207174240).

121274496 is an abundant number, since it is smaller than the sum of its proper divisors (293073984).

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

121274496 is an frugal number, since it uses more digits than its factorization.

121274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 569 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 121274496 is about 11012.4700226607. The cubic root of 121274496 is about 494.9824787187.

The spelling of 121274496 in words is "one hundred twenty-one million, two hundred seventy-four thousand, four hundred ninety-six".