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122210002222000 = 245372111011122449
BaseRepresentation
bin11011110010011000111011…
…110001010011101110110000
3121000201011101011212002112121
4123302120323301103232300
5112004242041032101000
61111530255554204024
734512244532134300
oct3362307361235660
9530634334762477
10122210002222000
1135a37a75278670
121185914a583614
13532647a297b64
142226dd2181600
15e1de68c53b1a
hex6f263bc53bb0

122210002222000 has 480 divisors, whose sum is σ = 378712438977600. Its totient is φ = 37714252800000.

The previous prime is 122210002221973. The next prime is 122210002222013. The reversal of 122210002222000 is 222200012221.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108316776 + ... + 109439224.

It is an arithmetic number, because the mean of its divisors is an integer number (788984247870).

Almost surely, 2122210002222000 is an apocalyptic number.

122210002222000 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 122210002222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189356219488800).

122210002222000 is an abundant number, since it is smaller than the sum of its proper divisors (256502436755600).

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

122210002222000 is a wasteful number, since it uses less digits than its factorization.

122210002222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122598 (or 1122575 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 122210002222000 its reverse (222200012221), we get a palindrome (122432202234221).

The spelling of 122210002222000 in words is "one hundred twenty-two trillion, two hundred ten billion, two million, two hundred twenty-two thousand".