Search a number
-
+
120213323221200 = 243521134031267611
BaseRepresentation
bin11011010101010101011000…
…011011011000100011010000
3120202122021121012001111000220
4123111111120123120203100
5111224033341221034300
61103401123245513040
734215061133511516
oct3325253033304320
9522567535044026
10120213323221200
1135338203004720
1211596192872780
1352100b5a88c91
1421984da7b64b6
15dd70575c5da0
hex6d55586d88d0

120213323221200 has 240 divisors, whose sum is σ = 420104836426752. Its totient is φ = 29141658560000.

The previous prime is 120213323221139. The next prime is 120213323221261. The reversal of 120213323221200 is 2122323312021.

120213323221200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (120213323221139) and next prime (120213323221261).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 449075395 + ... + 449343005.

Almost surely, 2120213323221200 is an apocalyptic number.

120213323221200 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 120213323221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210052418213376).

120213323221200 is an abundant number, since it is smaller than the sum of its proper divisors (299891513205552).

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

120213323221200 is a wasteful number, since it uses less digits than its factorization.

120213323221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301674 (or 301663 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 120213323221200 its reverse (2122323312021), we get a palindrome (122335646533221).

The spelling of 120213323221200 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred twenty-three million, two hundred twenty-one thousand, two hundred".