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12010002020020 = 2251735323535353
BaseRepresentation
bin1010111011000100101111…
…1001110111011010110100
31120112010220200122100212101
42232301023321313122310
53033232441004120040
641313152504031444
72346460021536514
oct256611371673264
946463820570771
1012010002020020
113910460049554
12141b751462584
136916cc936624
142d7404109844
1515c61b07c09a
hexaec4be776b4

12010002020020 has 24 divisors (see below), whose sum is σ = 26704592727624. Its totient is φ = 4521412525056.

The previous prime is 12010002019979. The next prime is 12010002020057. The reversal of 12010002020020 is 2002020001021.

It can be written as a sum of positive squares in 4 ways, for example, as 167552686224 + 11842449333796 = 409332^2 + 3441286^2 .

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 = 12010002019979 and 12010002020006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17661767337 + ... + 17661768016.

It is an arithmetic number, because the mean of its divisors is an integer number (1112691363651).

Almost surely, 212010002020020 is an apocalyptic number.

12010002020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010002020020 is an abundant number, since it is smaller than the sum of its proper divisors (14694590707604).

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

12010002020020 is a wasteful number, since it uses less digits than its factorization.

12010002020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35323535379 (or 35323535377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 12010002020020 its reverse (2002020001021), we get a palindrome (14012022021041).

The spelling of 12010002020020 in words is "twelve trillion, ten billion, two million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 35323535353 70647070706 141294141412 176617676765 353235353530 600500101001 706470707060 1201000202002 2402000404004 3002500505005 6005001010010 12010002020020