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122112202030200 = 2332523716710979141
BaseRepresentation
bin11011110000111101110110…
…011011001011110001111000
3121000100210221022112120211200
4123300331312123023301320
5112001141242204431300
61111413323212454200
734502213126205624
oct3360756633136170
9530323838476750
10122112202030200
11359aa548650a78
12118421b547a360
13531a192450695
14222239534c184
15e1b642be9200
hex6f0f766cbc78

122112202030200 has 288 divisors, whose sum is σ = 423699143081760. Its totient is φ = 31493443507200.

The previous prime is 122112202030187. The next prime is 122112202030243. The reversal of 122112202030200 is 2030202211221.

122112202030200 is a `hidden beast` number, since 1 + 2 + 211 + 220 + 2 + 0 + 30 + 200 = 666.

122112202030200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1221122020302002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5632630 + ... + 16611770.

It is an arithmetic number, because the mean of its divisors is an integer number (1471177580145).

Almost surely, 2122112202030200 is an apocalyptic number.

122112202030200 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 122112202030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211849571540880).

122112202030200 is an abundant number, since it is smaller than the sum of its proper divisors (301586941051560).

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

122112202030200 is a wasteful number, since it uses less digits than its factorization.

122112202030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10979367 (or 10979355 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122112202030200 its reverse (2030202211221), we get a palindrome (124142404241421).

The spelling of 122112202030200 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred two million, thirty thousand, two hundred".