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12220132001000 = 235374112320117
BaseRepresentation
bin1011000111010011100010…
…1000001000010011101000
31121021020022000021101212112
42301310320220020103220
53100203312243013000
641553503502501452
72400606156110000
oct261647050102350
947236260241775
1012220132001000
11399158aa33360
121454415594888
136a8479852b91
14303659707000
15162d189d7235
hexb1d38a084e8

12220132001000 has 640 divisors, whose sum is σ = 37975741090560. Its totient is φ = 3643088064000.

The previous prime is 12220132000939. The next prime is 12220132001039. The reversal of 12220132001000 is 10023102221.

It is a happy number.

It is a super-2 number, since 2×122201320010002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 607442942 + ... + 607463058.

It is an arithmetic number, because the mean of its divisors is an integer number (59337095454).

Almost surely, 212220132001000 is an apocalyptic number.

12220132001000 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 12220132001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18987870545280).

12220132001000 is an abundant number, since it is smaller than the sum of its proper divisors (25755609089560).

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

12220132001000 is a wasteful number, since it uses less digits than its factorization.

12220132001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20200 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 12220132001000 its reverse (10023102221), we get a palindrome (12230155103221).

The spelling of 12220132001000 in words is "twelve trillion, two hundred twenty billion, one hundred thirty-two million, one thousand".