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12141403002020 = 225607070150101
BaseRepresentation
bin1011000010101110010000…
…0000110101010010100100
31120222201002020202212111102
42300223210000311102210
53042411043132031040
641453403351055232
72362121166466505
oct260534400652244
946881066685442
1012141403002020
11396115a518146
121441103371518
136a0c10b41896
142dd90b6a0bac
15160c5bdcb515
hexb0ae40354a4

12141403002020 has 12 divisors (see below), whose sum is σ = 25496946304284. Its totient is φ = 4856561200800.

The previous prime is 12141403001983. The next prime is 12141403002023. The reversal of 12141403002020 is 2020030414121.

It can be written as a sum of positive squares in 2 ways, for example, as 1907072617024 + 10234330384996 = 1380968^2 + 3199114^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 607070150101 = 12141403002020 / (1 + 2 + 1 + 4 + 1 + 4 + 0 + 3 + 0 + 0 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 12141403001983 and 12141403002001.

It is not an unprimeable number, because it can be changed into a prime (12141403002023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 303535075031 + ... + 303535075070.

It is an arithmetic number, because the mean of its divisors is an integer number (2124745525357).

Almost surely, 212141403002020 is an apocalyptic number.

12141403002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12141403002020 is an abundant number, since it is smaller than the sum of its proper divisors (13355543302264).

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

12141403002020 is a wasteful number, since it uses less digits than its factorization.

12141403002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607070150110 (or 607070150108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 12141403002020 its reverse (2020030414121), we get a palindrome (14161433416141).

The spelling of 12141403002020 in words is "twelve trillion, one hundred forty-one billion, four hundred three million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 607070150101 1214140300202 2428280600404 3035350750505 6070701501010 12141403002020