Search a number
-
+
120123103320000 = 2632541123774531
BaseRepresentation
bin11011010100000001010110…
…111001110001011111000000
3120202022122201121101122011200
4123110001112321301133000
5111221044103422220000
61103251443012141200
734205415324142554
oct3324012671613700
9522278647348150
10120123103320000
1135302a16248600
12115807b4307800
135204738532261
142193dbc5d5864
15dd4a26cad500
hex6d4056e717c0

120123103320000 has 1260 divisors, whose sum is σ = 485708965509768. Its totient is φ = 28333324800000.

The previous prime is 120123103319983. The next prime is 120123103320119. The reversal of 120123103320000 is 23301321021.

120123103320000 is a `hidden beast` number, since 1 + 20 + 1 + 2 + 310 + 332 + 0 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1611682735 + ... + 1611757265.

Almost surely, 2120123103320000 is an apocalyptic number.

120123103320000 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 120123103320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242854482754884).

120123103320000 is an abundant number, since it is smaller than the sum of its proper divisors (365585862189768).

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

120123103320000 is a wasteful number, since it uses less digits than its factorization.

120123103320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74628 (or 74589 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120123103320000 its reverse (23301321021), we get a palindrome (120146404641021).

The spelling of 120123103320000 in words is "one hundred twenty trillion, one hundred twenty-three billion, one hundred three million, three hundred twenty thousand".