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12001212020100 = 223521919322074943
BaseRepresentation
bin1010111010100011111111…
…1110101011010110000100
31120111022020002201002210210
42232220333332223112010
53033111440234120400
641305140343515420
72346026136012552
oct256507776532604
946438202632723
1012001212020100
11390775a350506
121419ab9758b70
1369092b832244
142d6c0c95abd2
1515c2a4532950
hexaea3ffab584

12001212020100 has 288 divisors, whose sum is σ = 36764526919680. Its totient is φ = 3014199336960.

The previous prime is 12001212020099. The next prime is 12001212020101. The reversal of 12001212020100 is 102021210021.

It is an interprime number because it is at equal distance from previous prime (12001212020099) and next prime (12001212020101).

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

It is not an unprimeable number, because it can be changed into a prime (12001212020101) 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, 2427918229 + ... + 2427923171.

It is an arithmetic number, because the mean of its divisors is an integer number (127654607360).

Almost surely, 212001212020100 is an apocalyptic number.

12001212020100 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 12001212020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18382263459840).

12001212020100 is an abundant number, since it is smaller than the sum of its proper divisors (24763314899580).

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

12001212020100 is a wasteful number, since it uses less digits than its factorization.

12001212020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379 (or 7372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12001212020100 its reverse (102021210021), we get a palindrome (12103233230121).

The spelling of 12001212020100 in words is "twelve trillion, one billion, two hundred twelve million, twenty thousand, one hundred".