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121104806940 = 2233513472831297
BaseRepresentation
bin111000011001001101…
…0001011010000011100
3102120121000001121201000
41300302122023100130
53441010312310230
6131345040150300
711515042605615
oct1606232132034
9376530047630
10121104806940
11473a6562a07
121b579908390
13b56005bca0
145c0bd76c0c
15323be8ab60
hex1c3268b41c

121104806940 has 384 divisors, whose sum is σ = 416170782720. Its totient is φ = 29050638336.

The previous prime is 121104806923. The next prime is 121104806951. The reversal of 121104806940 is 49608401121.

121104806940 is a `hidden beast` number, since 1 + 2 + 110 + 480 + 69 + 4 + 0 = 666.

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 = 121104806895 and 121104806904.

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, 93372372 + ... + 93373668.

It is an arithmetic number, because the mean of its divisors is an integer number (1083778080).

Almost surely, 2121104806940 is an apocalyptic number.

121104806940 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 121104806940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208085391360).

121104806940 is an abundant number, since it is smaller than the sum of its proper divisors (295065975780).

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

121104806940 is a wasteful number, since it uses less digits than its factorization.

121104806940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 121104806940 in words is "one hundred twenty-one billion, one hundred four million, eight hundred six thousand, nine hundred forty".