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122123330001201 = 33747915491482821
BaseRepresentation
bin11011110001001000001101…
…101101000001100100110001
3121000101212122211210002021210
4123301020031231001210301
5112001332034440014301
61111422403331510333
734503055651332024
oct3361101555014461
9530355584702253
10122123330001201
1135a04239045321
12118443a01583a9
13531b246a330c9
142222b2d2111bb
15e1ba94b15ad6
hex6f120db41931

122123330001201 has 32 divisors (see below), whose sum is σ = 167689374336000. Its totient is φ = 78998670869760.

The previous prime is 122123330001143. The next prime is 122123330001259. The reversal of 122123330001201 is 102100033321221.

It is an interprime number because it is at equal distance from previous prime (122123330001143) and next prime (122123330001259).

It is a de Polignac number, because none of the positive numbers 2k-122123330001201 is a prime.

It is a super-2 number, since 2×1221233300012012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122123330051201) 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, 81617371 + ... + 83100191.

It is an arithmetic number, because the mean of its divisors is an integer number (5240292948000).

Almost surely, 2122123330001201 is an apocalyptic number.

It is an amenable number.

122123330001201 is a deficient number, since it is larger than the sum of its proper divisors (45566044334799).

122123330001201 is a wasteful number, since it uses less digits than its factorization.

122123330001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484889.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 122123330001201 its reverse (102100033321221), we get a palindrome (224223363322422).

The spelling of 122123330001201 in words is "one hundred twenty-two trillion, one hundred twenty-three billion, three hundred thirty million, one thousand, two hundred one".

Divisors: 1 3 37 111 479 1437 1549 4647 17723 53169 57313 171939 741971 1482821 2225913 4448463 27452927 54864377 82358781 164593131 710271259 2130813777 2296889729 6890669187 26280036583 78840109749 84984919973 254954759919 1100210180191 3300630540573 40707776667067 122123330001201