Search a number
-
+
12001000101120 = 2832531162120731
BaseRepresentation
bin1010111010100011001101…
…0110010001010100000000
31120111021200022221111121200
42232220303112101110000
53033111022011213440
641305103333421200
72346020653514142
oct256506326212400
946437608844550
1012001000101120
113907660767658
121419a5a79a800
136908c6963ab4
142d6bcc754c92
1515c290b21c30
hexaea33591500

12001000101120 has 432 divisors, whose sum is σ = 42890146650624. Its totient is φ = 3094972416000.

The previous prime is 12001000101091. The next prime is 12001000101121. The reversal of 12001000101120 is 2110100010021.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001000101121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 578881155 + ... + 578901885.

Almost surely, 212001000101120 is an apocalyptic number.

12001000101120 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 12001000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21445073325312).

12001000101120 is an abundant number, since it is smaller than the sum of its proper divisors (30889146549504).

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

12001000101120 is a wasteful number, since it uses less digits than its factorization.

12001000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22410 (or 22393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001000101120 its reverse (2110100010021), we get a palindrome (14111100111141).

The spelling of 12001000101120 in words is "twelve trillion, one billion, one hundred one thousand, one hundred twenty".