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122201210020120 = 235711296140155931
BaseRepresentation
bin11011110010010000101111…
…101101101110000100011000
3121000200022200102202221221221
4123302100233231232010120
5112004121034231120440
61111522243314541424
734511513621506540
oct3362205755560430
9530608612687857
10122201210020120
1135a34273306220
12118574b5b97874
1353256a88a243a
1422267da5bc320
15e1db01e21d4a
hex6f242fb6e118

122201210020120 has 512 divisors, whose sum is σ = 361337544345600. Its totient is φ = 36081561600000.

The previous prime is 122201210020007. The next prime is 122201210020193. The reversal of 122201210020120 is 21020012102221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122201210020094 and 122201210020103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2184828555 + ... + 2184884485.

It is an arithmetic number, because the mean of its divisors is an integer number (705737391300).

Almost surely, 2122201210020120 is an apocalyptic number.

122201210020120 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 122201210020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180668772172800).

122201210020120 is an abundant number, since it is smaller than the sum of its proper divisors (239136334325480).

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

122201210020120 is a wasteful number, since it uses less digits than its factorization.

122201210020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56451 (or 56447 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122201210020120 its reverse (21020012102221), we get a palindrome (143221222122341).

The spelling of 122201210020120 in words is "one hundred twenty-two trillion, two hundred one billion, two hundred ten million, twenty thousand, one hundred twenty".