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122120201001 = 33771101153421
BaseRepresentation
bin111000110111011101…
…1100110001100101001
3102200012202200222111110
41301232323212030221
54000100232413001
6132033511420533
711552152403301
oct1615673461451
9380182628443
10122120201001
1147877740557
121b801984749
13b692528c86
145ca6b70601
15329b1ad3d6
hex1c6eee6329

122120201001 has 32 divisors (see below), whose sum is σ = 171263137536. Its totient is φ = 77323680000.

The previous prime is 122120200949. The next prime is 122120201017. The reversal of 122120201001 is 100102021221.

It is not a de Polignac number, because 122120201001 - 211 = 122120198953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122120201081) 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, 719271 + ... + 872691.

It is an arithmetic number, because the mean of its divisors is an integer number (5351973048).

Almost surely, 2122120201001 is an apocalyptic number.

It is an amenable number.

122120201001 is a deficient number, since it is larger than the sum of its proper divisors (49142936535).

122120201001 is a wasteful number, since it uses less digits than its factorization.

122120201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153633.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 122120201001 its reverse (100102021221), we get a palindrome (222222222222).

The spelling of 122120201001 in words is "one hundred twenty-two billion, one hundred twenty million, two hundred one thousand, one".

Divisors: 1 3 37 71 101 111 213 303 2627 3737 7171 7881 11211 21513 153421 265327 460263 795981 5676577 10892891 15495521 17029731 32678673 46486563 403036967 573334277 1100181991 1209110901 1720002831 3300545973 40706733667 122120201001