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130221022122000 = 2432539677481387
BaseRepresentation
bin11101100110111101110001…
…110001000001000000010000
3122002002000012221010102022100
4131212331301301001000100
5114032020123130401000
61140542413421040400
736300105215561055
oct3546756161010020
9562060187112270
10130221022122000
1138546475150877
12127318589b6100
135787a35c633b4
142422a341d102c
15100c533389a00
hex766f71c41010

130221022122000 has 240 divisors, whose sum is σ = 455289023958912. Its totient is φ = 34689690604800.

The previous prime is 130221022121989. The next prime is 130221022122043. The reversal of 130221022122000 is 221220122031.

130221022122000 is a `hidden beast` number, since 1 + 3 + 0 + 221 + 0 + 221 + 220 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13665307 + ... + 21146693.

Almost surely, 2130221022122000 is an apocalyptic number.

130221022122000 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 130221022122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227644511979456).

130221022122000 is an abundant number, since it is smaller than the sum of its proper divisors (325068001836912).

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

130221022122000 is a wasteful number, since it uses less digits than its factorization.

130221022122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7482383 (or 7482364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 130221022122000 its reverse (221220122031), we get a palindrome (130442242244031).

The spelling of 130221022122000 in words is "one hundred thirty trillion, two hundred twenty-one billion, twenty-two million, one hundred twenty-two thousand".