Search a number
-
+
121002102230000 = 2454154916074861
BaseRepresentation
bin11011100000110011111111…
…010100100000101111110000
3120212102200120112220210211212
4123200303333110200233300
5111324444301132330000
61105203333125255252
734326053615455505
oct3340637724405760
9525380515823755
10121002102230000
1135611781210672
12116a3027264528
1352695ac0b4394
1421c47667834ac
15dec820724c35
hex6e0cff520bf0

121002102230000 has 200 divisors, whose sum is σ = 293390079496800. Its totient is φ = 48329550720000.

The previous prime is 121002102229999. The next prime is 121002102230003. The reversal of 121002102230000 is 32201200121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121002102230003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24892427570 + ... + 24892432430.

It is an arithmetic number, because the mean of its divisors is an integer number (1466950397484).

Almost surely, 2121002102230000 is an apocalyptic number.

121002102230000 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 121002102230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146695039748400).

121002102230000 is an abundant number, since it is smaller than the sum of its proper divisors (172387977266800).

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

121002102230000 is a wasteful number, since it uses less digits than its factorization.

121002102230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8045 (or 8024 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 121002102230000 its reverse (32201200121), we get a palindrome (121034303430121).

The spelling of 121002102230000 in words is "one hundred twenty-one trillion, two billion, one hundred two million, two hundred thirty thousand".