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121117318740 = 223551123137719
BaseRepresentation
bin111000011001100100…
…1111001111001010100
3102120121212121021200000
41300303021321321110
53441022013144430
6131350204251300
711515254136305
oct1606311717124
9376555537600
10121117318740
1147402629240
121b581b40b30
13b56281cc12
145c0d8b27ac
15323d10ce60
hex1c33279e54

121117318740 has 576 divisors, whose sum is σ = 437476515840. Its totient is φ = 27841397760.

The previous prime is 121117318723. The next prime is 121117318757. The reversal of 121117318740 is 47813711121.

121117318740 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (121117318723) and next prime (121117318757).

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

It is a junction number, because it is equal to n+sod(n) for n = 121117318695 and 121117318704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 168452101 + ... + 168452819.

It is an arithmetic number, because the mean of its divisors is an integer number (759507840).

Almost surely, 2121117318740 is an apocalyptic number.

121117318740 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 121117318740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218738257920).

121117318740 is an abundant number, since it is smaller than the sum of its proper divisors (316359197100).

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

121117318740 is a wasteful number, since it uses less digits than its factorization.

121117318740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The spelling of 121117318740 in words is "one hundred twenty-one billion, one hundred seventeen million, three hundred eighteen thousand, seven hundred forty".