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122200111320 = 233574127113093
BaseRepresentation
bin111000111001110110…
…0011011100011011000
3102200102100001211211220
41301303230123203120
54000231212030240
6132045444252040
711554142544060
oct1616354334330
9380370054756
10122200111320
1147908860341
121b8246a1020
13b6a5c575a1
145cb36123a0
1532a31e55d0
hex1c73b1b8d8

122200111320 has 256 divisors, whose sum is σ = 430807265280. Its totient is φ = 27147571200.

The previous prime is 122200111303. The next prime is 122200111367. The reversal of 122200111320 is 23111002221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122200111320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9326694 + ... + 9339786.

It is an arithmetic number, because the mean of its divisors is an integer number (1682840880).

Almost surely, 2122200111320 is an apocalyptic number.

122200111320 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 122200111320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215403632640).

122200111320 is an abundant number, since it is smaller than the sum of its proper divisors (308607153960).

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

122200111320 is a wasteful number, since it uses less digits than its factorization.

122200111320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13426 (or 13422 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122200111320 its reverse (23111002221), we get a palindrome (145311113541).

It can be divided in two parts, 1222001 and 11320, that added together give a palindrome (1233321).

The spelling of 122200111320 in words is "one hundred twenty-two billion, two hundred million, one hundred eleven thousand, three hundred twenty".