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122304412401 = 37913914232609
BaseRepresentation
bin111000111100111101…
…0010011101011110001
3102200200121022220000220
41301321322103223301
54000434412144101
6132104052003253
711556550231623
oct1617172235361
9380617286026
10122304412401
114796171a286
121b853600529
13b6c17459c2
145cc3402c13
1532ac449636
hex1c79e93af1

122304412401 has 32 divisors (see below), whose sum is σ = 166505472000. Its totient is φ = 79838224128.

The previous prime is 122304412379. The next prime is 122304412459. The reversal of 122304412401 is 104214403221.

It is not a de Polignac number, because 122304412401 - 222 = 122300218097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122304412481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46876585 + ... + 46879193.

It is an arithmetic number, because the mean of its divisors is an integer number (5203296000).

Almost surely, 2122304412401 is an apocalyptic number.

It is an amenable number.

122304412401 is a deficient number, since it is larger than the sum of its proper divisors (44201059599).

122304412401 is a wasteful number, since it uses less digits than its factorization.

122304412401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122304412401 its reverse (104214403221), we get a palindrome (226518815622).

The spelling of 122304412401 in words is "one hundred twenty-two billion, three hundred four million, four hundred twelve thousand, four hundred one".

Divisors: 1 3 79 139 237 417 1423 2609 4269 7827 10981 32943 112417 197797 206111 337251 362651 593391 618333 1087953 3712607 11137821 15625963 28649429 46877889 85948287 293295953 516052373 879887859 1548157119 40768137467 122304412401