Search a number
-
+
120210111222000 = 24353113241735689
BaseRepresentation
bin11011010101010010011000…
…111110100101000011110000
3120202121222022100010000110120
4123111102120332211003300
5111224010301433101000
61103355432425330240
734214615422124412
oct3325223076450360
9522558270100416
10120210111222000
1135336904a06128
1211595637036980
13520c9c34a8937
1421982b3d869b2
15dd6e1a6076a0
hex6d5498fa50f0

120210111222000 has 320 divisors, whose sum is σ = 392609996887680. Its totient is φ = 31640469504000.

The previous prime is 120210111221933. The next prime is 120210111222013. The reversal of 120210111222000 is 222111012021.

It is a super-2 number, since 2×1202101112220002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163030156 + ... + 163765844.

It is an arithmetic number, because the mean of its divisors is an integer number (1226906240274).

Almost surely, 2120210111222000 is an apocalyptic number.

120210111222000 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 120210111222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196304998443840).

120210111222000 is an abundant number, since it is smaller than the sum of its proper divisors (272399885665680).

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

120210111222000 is a wasteful number, since it uses less digits than its factorization.

120210111222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736069 (or 736053 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 120210111222000 its reverse (222111012021), we get a palindrome (120432222234021).

The spelling of 120210111222000 in words is "one hundred twenty trillion, two hundred ten billion, one hundred eleven million, two hundred twenty-two thousand".