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121354942068 = 223317472775077
BaseRepresentation
bin111000100000101010…
…0010111011001110100
3102121020102201210121000
41301001110113121310
53442013331121233
6131425533323300
711524200662553
oct1610124273164
9377212653530
10121354942068
1147514779158
121b629636530
13b59cb1b039
145c33289d9a
153253de9d13
hex1c41517674

121354942068 has 192 divisors, whose sum is σ = 341514593280. Its totient is φ = 37120260096.

The previous prime is 121354941991. The next prime is 121354942147. The reversal of 121354942068 is 860249453121.

121354942068 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 549 + 42 + 0 + 68 = 666.

It is a super-2 number, since 2×1213549420682 (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 23900346 + ... + 23905422.

It is an arithmetic number, because the mean of its divisors is an integer number (1778721840).

Almost surely, 2121354942068 is an apocalyptic number.

121354942068 is a gapful number since it is divisible by the number (18) 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 121354942068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170757296640).

121354942068 is an abundant number, since it is smaller than the sum of its proper divisors (220159651212).

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

121354942068 is a wasteful number, since it uses less digits than its factorization.

121354942068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5431 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 121354942068 in words is "one hundred twenty-one billion, three hundred fifty-four million, nine hundred forty-two thousand, sixty-eight".