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12202202331000 = 233253114116318443
BaseRepresentation
bin1011000110010000101111…
…1011110111011101111000
31121012112000110102210110200
42301210023323313131320
53044410102244043000
641541340411442200
72366402643324423
oct261441373673570
947175013383420
1012202202331000
113984a1a117970
121450a50a56360
136a68800783a6
143028383869ba
151626198c2500
hexb190bef7778

12202202331000 has 768 divisors, whose sum is σ = 46375510970880. Its totient is φ = 2868099840000.

The previous prime is 12202202330987. The next prime is 12202202331029. The reversal of 12202202331000 is 13320220221.

It is a super-2 number, since 2×122022023310002 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 661607779 + ... + 661626221.

It is an arithmetic number, because the mean of its divisors is an integer number (60384779910).

Almost surely, 212202202331000 is an apocalyptic number.

12202202331000 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 12202202331000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23187755485440).

12202202331000 is an abundant number, since it is smaller than the sum of its proper divisors (34173308639880).

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

12202202331000 is a wasteful number, since it uses less digits than its factorization.

12202202331000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18685 (or 18668 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12202202331000 its reverse (13320220221), we get a palindrome (12215522551221).

It can be divided in two parts, 12202 and 202331000, that added together give a palindrome (202343202).

The spelling of 12202202331000 in words is "twelve trillion, two hundred two billion, two hundred two million, three hundred thirty-one thousand".