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12021101311032 = 233211415960710337
BaseRepresentation
bin1010111011101110000101…
…1110010011010000111000
31120120012120012220202202200
42232323201132103100320
53033423203413423112
641322230120230200
72350332045132522
oct256734136232070
946505505822680
1012021101311032
113915136334130
12142192a60b360
1369277b2b6b48
142d7b78264a12
1515ca6a6d0cdc
hexaeee1793438

12021101311032 has 384 divisors, whose sum is σ = 37064359987200. Its totient is φ = 3487581388800.

The previous prime is 12021101311031. The next prime is 12021101311039. The reversal of 12021101311032 is 23011310112021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 12021101310996 and 12021101311014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12021101311031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1162914568 + ... + 1162924904.

It is an arithmetic number, because the mean of its divisors is an integer number (96521770800).

Almost surely, 212021101311032 is an apocalyptic number.

12021101311032 is a gapful number since it is divisible by the number (12) 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 12021101311032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18532179993600).

12021101311032 is an abundant number, since it is smaller than the sum of its proper divisors (25043258676168).

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

12021101311032 is a wasteful number, since it uses less digits than its factorization.

12021101311032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11067 (or 11060 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 12021101311032 its reverse (23011310112021), we get a palindrome (35032411423053).

The spelling of 12021101311032 in words is "twelve trillion, twenty-one billion, one hundred one million, three hundred eleven thousand, thirty-two".