Search a number
-
+
121023013221000 = 233353111133606061
BaseRepresentation
bin11011100001000111011101…
…101101100111001010001000
3120212111200112212122012211000
4123201013131231213022020
5111330320112341033000
61105221112120335000
734330424042116032
oct3341073555471210
9525450485565730
10121023013221000
113561a631999710
12116a70a2314460
13526b562433337
1421c578ba46c52
15ded14643e000
hex6e11ddb67288

121023013221000 has 512 divisors, whose sum is σ = 461737487577600. Its totient is φ = 29079267840000.

The previous prime is 121023013220999. The next prime is 121023013221013. The reversal of 121023013221000 is 122310320121.

121023013221000 is a `hidden beast` number, since 1 + 2 + 10 + 230 + 1 + 322 + 100 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 31757970 + ... + 35364030.

It is an arithmetic number, because the mean of its divisors is an integer number (901831030425).

Almost surely, 2121023013221000 is an apocalyptic number.

121023013221000 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 121023013221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230868743788800).

121023013221000 is an abundant number, since it is smaller than the sum of its proper divisors (340714474356600).

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

121023013221000 is a wasteful number, since it uses less digits than its factorization.

121023013221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3606215 (or 3606195 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 121023013221000 its reverse (122310320121), we get a palindrome (121145323541121).

The spelling of 121023013221000 in words is "one hundred twenty-one trillion, twenty-three billion, thirteen million, two hundred twenty-one thousand".