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122212201021120 = 2657234469953069
BaseRepresentation
bin11011110010011010111110…
…110101000011111011000000
3121000201101001102021122220001
4123302122332311003323000
5112004311041430133440
61111531302102125344
734512353161462330
oct3362327665037300
9530641042248801
10122212201021120
1135a389a3457a21
1211859662a20854
13532673a998a22
1422271601c90c0
15e1e046cd4b9a
hex6f26bed43ec0

122212201021120 has 224 divisors, whose sum is σ = 347066591616000. Its totient is φ = 40077877407744.

The previous prime is 122212201021109. The next prime is 122212201021139. The reversal of 122212201021120 is 21120102212221.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2302865946 + ... + 2302919014.

Almost surely, 2122212201021120 is an apocalyptic number.

122212201021120 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 122212201021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173533295808000).

122212201021120 is an abundant number, since it is smaller than the sum of its proper divisors (224854390594880).

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

122212201021120 is a wasteful number, since it uses less digits than its factorization.

122212201021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97815 (or 97805 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 122212201021120 its reverse (21120102212221), we get a palindrome (143332303233341).

The spelling of 122212201021120 in words is "one hundred twenty-two trillion, two hundred twelve billion, two hundred one million, twenty-one thousand, one hundred twenty".