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12013021001020 = 225134121114473691
BaseRepresentation
bin1010111011001111111111…
…0110010111010100111100
31120112102201002101111020111
42232303333312113110330
53033310131334013040
641314412231155404
72346624600465424
oct256637766272474
946472632344214
1012013021001020
11391176a1a3676
121420254515b64
13691a91235510
142d760d053484
1515c74611edea
hexaecffd9753c

12013021001020 has 192 divisors, whose sum is σ = 27989344760832. Its totient is φ = 4302740736000.

The previous prime is 12013021000993. The next prime is 12013021001041. The reversal of 12013021001020 is 2010012031021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3254677375 + ... + 3254681065.

It is an arithmetic number, because the mean of its divisors is an integer number (145777837296).

Almost surely, 212013021001020 is an apocalyptic number.

12013021001020 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 12013021001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994672380416).

12013021001020 is an abundant number, since it is smaller than the sum of its proper divisors (15976323759812).

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

12013021001020 is a wasteful number, since it uses less digits than its factorization.

12013021001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5410 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12013021001020 its reverse (2010012031021), we get a palindrome (14023033032041).

The spelling of 12013021001020 in words is "twelve trillion, thirteen billion, twenty-one million, one thousand, twenty".