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1020000120112 = 2419211108714629
BaseRepresentation
bin11101101011111001011…
…11101010110100110000
310121111210120011210111101
432311330233222310300
5113202430012320422
62100325342254144
7133456360653061
oct16657457526460
93544716153441
101020000120112
11363641527186
12145823b87354
13752549b603c
1437522760568
151b7ec507c27
hexed7cbead30

1020000120112 has 80 divisors (see below), whose sum is σ = 2092188313600. Its totient is φ = 480392881920.

The previous prime is 1020000120109. The next prime is 1020000120119. The reversal of 1020000120112 is 2110210000201.

It is not an unprimeable number, because it can be changed into a prime (1020000120119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69717214 + ... + 69731842.

It is an arithmetic number, because the mean of its divisors is an integer number (26152353920).

Almost surely, 21020000120112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020000120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1046094156800).

1020000120112 is an abundant number, since it is smaller than the sum of its proper divisors (1072188193488).

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

1020000120112 is a wasteful number, since it uses less digits than its factorization.

1020000120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15954 (or 15948 counting only the distinct ones).

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

Adding to 1020000120112 its reverse (2110210000201), we get a palindrome (3130210120313).

The spelling of 1020000120112 in words is "one trillion, twenty billion, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 38 76 152 211 304 422 844 1087 1688 2174 3376 4009 4348 8018 8696 14629 16036 17392 20653 29258 32072 41306 58516 64144 82612 117032 165224 229357 234064 277951 330448 458714 555902 917428 1111804 1834856 2223608 3086719 3669712 4357783 4447216 6173438 8715566 12346876 15901723 17431132 24693752 31803446 34862264 49387504 58647661 63606892 69724528 117295322 127213784 234590644 254427568 302132737 469181288 604265474 938362576 1208530948 2417061896 3355263553 4834123792 6710527106 13421054212 26842108424 53684216848 63750007507 127500015014 255000030028 510000060056 1020000120112