Search a number
-
+
10120012110012 = 2237329471803889
BaseRepresentation
bin1001001101000011111110…
…1110100001100010111100
31022211110112001012010010210
42103100333232201202330
52311301241100010022
633305022553032420
72063101222425000
oct223207756414274
938743461163123
1010120012110012
11325196700a612
1211753ab6b5710
1358540b9c297c
1426db4dd08700
151283a0edba0c
hex9343fba18bc

10120012110012 has 192 divisors, whose sum is σ = 29093137920000. Its totient is φ = 2732327506944.

The previous prime is 10120012109993. The next prime is 10120012110031. The reversal of 10120012110012 is 21001121002101.

It is an interprime number because it is at equal distance from previous prime (10120012109993) and next prime (10120012110031).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 10120012110012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4708164 + ... + 6512052.

It is an arithmetic number, because the mean of its divisors is an integer number (151526760000).

Almost surely, 210120012110012 is an apocalyptic number.

10120012110012 is a gapful number since it is divisible by the number (12) 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 10120012110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14546568960000).

10120012110012 is an abundant number, since it is smaller than the sum of its proper divisors (18973125809988).

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

10120012110012 is a wasteful number, since it uses less digits than its factorization.

10120012110012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803993 (or 1803977 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10120012110012 its reverse (21001121002101), we get a palindrome (31121133112113).

The spelling of 10120012110012 in words is "ten trillion, one hundred twenty billion, twelve million, one hundred ten thousand, twelve".