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20031211200000 = 29355711213379
BaseRepresentation
bin1001000110111111000010…
…01110100101111000000000
32121220222001112211202002010
410203133201032211320000
510111142410031400000
6110334113354252520
74135131041604030
oct443374116457000
977828045752063
1020031211200000
116423209567600
1222b6224127140
13b23c20592110
144d37314ad8c0
1524b0ceeadd50
hex1237e13a5e00

20031211200000 has 2880 divisors, whose sum is σ = 90473444328960. Its totient is φ = 3832012800000.

The previous prime is 20031211199971. The next prime is 20031211200109. The reversal of 20031211200000 is 211213002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 52852799811 + ... + 52852800189.

It is an arithmetic number, because the mean of its divisors is an integer number (31414390392).

Almost surely, 220031211200000 is an apocalyptic number.

20031211200000 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 20031211200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45236722164480).

20031211200000 is an abundant number, since it is smaller than the sum of its proper divisors (70442233128960).

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

20031211200000 is an equidigital number, since it uses as much as digits as its factorization.

20031211200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 20031211200000 its reverse (211213002), we get a palindrome (20031422413002).

The spelling of 20031211200000 in words is "twenty trillion, thirty-one billion, two hundred eleven million, two hundred thousand".