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120211013132320 = 25511791879460127
BaseRepresentation
bin11011010101010011001110…
…101111000110000000100000
3120202122001122012012210211111
4123111103032233012000200
5111224014123330213240
61103400102124353104
734214646653210515
oct3325231657060040
9522561565183744
10120211013132320
1135337228022760
12115958490a5794
13520cb082c0996
14219835ba7d30c
15dd6e6e8b01ea
hex6d54cebc6020

120211013132320 has 192 divisors, whose sum is σ = 313905947443200. Its totient is φ = 43136702069760.

The previous prime is 120211013132311. The next prime is 120211013132321. The reversal of 120211013132320 is 23231310112021.

It is a super-2 number, since 2×1202110131323202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 120211013132291 and 120211013132300.

It is not an unprimeable number, because it can be changed into a prime (120211013132321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261026097 + ... + 261486223.

It is an arithmetic number, because the mean of its divisors is an integer number (1634926809600).

Almost surely, 2120211013132320 is an apocalyptic number.

120211013132320 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 120211013132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156952973721600).

120211013132320 is an abundant number, since it is smaller than the sum of its proper divisors (193694934310880).

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

120211013132320 is a wasteful number, since it uses less digits than its factorization.

120211013132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462111 (or 462103 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 120211013132320 its reverse (23231310112021), we get a palindrome (143442323244341).

The spelling of 120211013132320 in words is "one hundred twenty trillion, two hundred eleven billion, thirteen million, one hundred thirty-two thousand, three hundred twenty".