Search a number
-
+
120020112000 = 2732531943867
BaseRepresentation
bin110111111000111000…
…0011001001010000000
3102110210102000101222100
41233301300121022000
53431300122041000
6131045251310400
711446132055655
oct1576160311200
9373712011870
10120020112000
114699a251608
121b3165ab400
13b419409769
145b47c9dc2c
1531c6b29a00
hex1bf1c19280

120020112000 has 384 divisors, whose sum is σ = 453717950400. Its totient is φ = 30320179200.

The previous prime is 120020111999. The next prime is 120020112011. The reversal of 120020112000 is 211020021.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2714067 + ... + 2757933.

Almost surely, 2120020112000 is an apocalyptic number.

120020112000 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 120020112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226858975200).

120020112000 is an abundant number, since it is smaller than the sum of its proper divisors (333697838400).

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

120020112000 is a wasteful number, since it uses less digits than its factorization.

120020112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43921 (or 43896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120020112000 its reverse (211020021), we get a palindrome (120231132021).

It can be divided in two parts, 1200201 and 12000, that added together give a square (1212201 = 11012).

The spelling of 120020112000 in words is "one hundred twenty billion, twenty million, one hundred twelve thousand".