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20021122001200 = 2452314397521743
BaseRepresentation
bin1001000110101100001111…
…10111010110100100110000
32121220000000102020100012111
410203112013313112210300
510111011224213014300
6110325324303535104
74134323032044205
oct443260767264460
977800012210174
1020021122001200
116419a01469181
1222b42892ba494
13b22ca32735b8
144d305556bcac
1524abde3819ba
hex123587dd6930

20021122001200 has 480 divisors, whose sum is σ = 51498615877632. Its totient is φ = 7467393024000.

The previous prime is 20021122001189. The next prime is 20021122001203. The reversal of 20021122001200 is 210022112002.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20021122001203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26946328029 + ... + 26946328771.

Almost surely, 220021122001200 is an apocalyptic number.

20021122001200 is a gapful number since it is divisible by the number (20) 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 20021122001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25749307938816).

20021122001200 is an abundant number, since it is smaller than the sum of its proper divisors (31477493876432).

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

20021122001200 is a wasteful number, since it uses less digits than its factorization.

20021122001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1453 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20021122001200 its reverse (210022112002), we get a palindrome (20231144113202).

The spelling of 20021122001200 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, one thousand, two hundred".