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122200413412 = 227211237472963
BaseRepresentation
bin111000111001110110…
…1100101010011100100
3102200102100122012020111
41301303231211103210
54000231301212122
6132045454542404
711554145242600
oct1616355452344
9380370565214
10122200413412
1147908a47300
121b824807a04
13b6a6031c3c
145cb3690500
1532a3254d77
hex1c73b654e4

122200413412 has 216 divisors, whose sum is σ = 286898032512. Its totient is φ = 45322865280.

The previous prime is 122200413403. The next prime is 122200413431. The reversal of 122200413412 is 214314002221.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 41240643 + ... + 41243605.

It is an arithmetic number, because the mean of its divisors is an integer number (1328231632).

Almost surely, 2122200413412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122200413412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143449016256).

122200413412 is an abundant number, since it is smaller than the sum of its proper divisors (164697619100).

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

122200413412 is a wasteful number, since it uses less digits than its factorization.

122200413412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3087 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 122200413412 its reverse (214314002221), we get a palindrome (336514415633).

The spelling of 122200413412 in words is "one hundred twenty-two billion, two hundred million, four hundred thirteen thousand, four hundred twelve".