Search a number
-
+
121103322120000 = 26325411375914009
BaseRepresentation
bin11011100010010010010000…
…011111101111111101000000
3120212210100211201222222120200
4123202102100133233331000
5111333124100430320000
61105322033111005200
734336266134362563
oct3342222037577500
9525710751888520
10121103322120000
11356506a31a8120
12116ba775669800
135275cc056060c
1421c96098304da
15e00296ac8500
hex6e24907eff40

121103322120000 has 1680 divisors, whose sum is σ = 494256438561600. Its totient is φ = 28078755840000.

The previous prime is 121103322119999. The next prime is 121103322120007. The reversal of 121103322120000 is 21223301121.

121103322120000 is a `hidden beast` number, since 1 + 2 + 110 + 332 + 21 + 200 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121103322120007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8644672996 + ... + 8644687004.

Almost surely, 2121103322120000 is an apocalyptic number.

121103322120000 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 121103322120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247128219280800).

121103322120000 is an abundant number, since it is smaller than the sum of its proper divisors (373153116441600).

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

121103322120000 is a wasteful number, since it uses less digits than its factorization.

121103322120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14154 (or 14126 counting only the distinct ones).

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

Adding to 121103322120000 its reverse (21223301121), we get a palindrome (121124545421121).

The spelling of 121103322120000 in words is "one hundred twenty-one trillion, one hundred three billion, three hundred twenty-two million, one hundred twenty thousand".