Search a number
-
+
121060638720000 = 2173354721117
BaseRepresentation
bin11011100001101010100000…
…010111100000000000000000
3120212122021200001122121022000
4123201222200113200000000
5111331424142003020000
61105250253433344000
734333225324434300
oct3341524027400000
9525567601577260
10121060638720000
113563458a570a31
12116b2442b68000
135271c7a587305
1421c751ab11600
15dee0e973a000
hex6e1aa05e0000

121060638720000 has 2160 divisors, whose sum is σ = 521874347314320. Its totient is φ = 27646230528000.

The previous prime is 121060638719957. The next prime is 121060638720013. The reversal of 121060638720000 is 27836060121.

121060638720000 is a `hidden beast` number, since 1 + 2 + 10 + 6 + 0 + 638 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 108380159442 + ... + 108380160558.

It is an arithmetic number, because the mean of its divisors is an integer number (241608494127).

Almost surely, 2121060638720000 is an apocalyptic number.

121060638720000 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 121060638720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260937173657160).

121060638720000 is an abundant number, since it is smaller than the sum of its proper divisors (400813708594320).

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

121060638720000 is an frugal number, since it uses more digits than its factorization.

121060638720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1134 counting only the distinct ones).

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

The spelling of 121060638720000 in words is "one hundred twenty-one trillion, sixty billion, six hundred thirty-eight million, seven hundred twenty thousand".