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112000012020 = 2232513232973983
BaseRepresentation
bin110100001001110111…
…0001000111011110100
3101201002110210010002100
41220103232020323310
53313334000341040
6123241352542100
711043315252201
oct1502356107364
9351073703070
10112000012020
11435540a5806
12198586b1930
13a73b979880
1455c6a82ca8
152da79adb30
hex1a13b88ef4

112000012020 has 576 divisors, whose sum is σ = 400755962880. Its totient is φ = 25086910464.

The previous prime is 112000012001. The next prime is 112000012039. The reversal of 112000012020 is 20210000211.

It is an interprime number because it is at equal distance from previous prime (112000012001) and next prime (112000012039).

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

It is a junction number, because it is equal to n+sod(n) for n = 112000011993 and 112000012011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113936449 + ... + 113937431.

It is an arithmetic number, because the mean of its divisors is an integer number (695756880).

Almost surely, 2112000012020 is an apocalyptic number.

112000012020 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 112000012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200377981440).

112000012020 is an abundant number, since it is smaller than the sum of its proper divisors (288755950860).

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

112000012020 is a wasteful number, since it uses less digits than its factorization.

112000012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 112000012020 its reverse (20210000211), we get a palindrome (132210012231).

The spelling of 112000012020 in words is "one hundred twelve billion, twelve thousand, twenty".