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122013112200 = 233527220713163
BaseRepresentation
bin111000110100010001…
…1000101011110001000
3102122221022012022021120
41301220203011132020
53444340324042300
6132015124235240
711546412225120
oct1615043053610
9378838168246
10122013112200
1147822248111
121b791b3bb20
13b6762a2a15
145c96855c80
153291aa83a0
hex1c688c5788

122013112200 has 192 divisors, whose sum is σ = 432503746560. Its totient is φ = 27873957120.

The previous prime is 122013112189. The next prime is 122013112201. The reversal of 122013112200 is 2211310221.

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 122013112200.

It is not an unprimeable number, because it can be changed into a prime (122013112201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9262819 + ... + 9275981.

It is an arithmetic number, because the mean of its divisors is an integer number (2252623680).

Almost surely, 2122013112200 is an apocalyptic number.

122013112200 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 122013112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216251873280).

122013112200 is an abundant number, since it is smaller than the sum of its proper divisors (310490634360).

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

122013112200 is a wasteful number, since it uses less digits than its factorization.

122013112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15387 counting only the distinct ones).

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

Adding to 122013112200 its reverse (2211310221), we get a palindrome (124224422421).

The spelling of 122013112200 in words is "one hundred twenty-two billion, thirteen million, one hundred twelve thousand, two hundred".