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12002011120 = 2451153277929
BaseRepresentation
bin10110010110110000…
…00010011111110000
31010222102220100002101
423023120002133300
5144040003323440
65302540430144
7603264261031
oct131330023760
933872810071
1012002011120
1150a9905660
1223ab548354
1311936ba038
1481bdc2a88
154a3a1b69a
hex2cb6027f0

12002011120 has 160 divisors (see below), whose sum is σ = 31161309120. Its totient is φ = 4261969920.

The previous prime is 12002011097. The next prime is 12002011157. The reversal of 12002011120 is 2111020021.

Adding to 12002011120 its reverse (2111020021), we get a palindrome (14113031141).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 12002011097 and 12002011106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12918816 + ... + 12919744.

It is an arithmetic number, because the mean of its divisors is an integer number (194758182).

Almost surely, 212002011120 is an apocalyptic number.

12002011120 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 12002011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15580654560).

12002011120 is an abundant number, since it is smaller than the sum of its proper divisors (19159298000).

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

12002011120 is a wasteful number, since it uses less digits than its factorization.

12002011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The spelling of 12002011120 in words is "twelve billion, two million, eleven thousand, one hundred twenty".