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122002001001 = 3241330628729
BaseRepresentation
bin111000110011111100…
…0101100110001101001
3102122220112021210120200
41301213320230301221
53444330003013001
6132014050142413
711546215620006
oct1614770546151
9378815253520
10122002001001
1147816a49101
121b78a281a09
13b673bb244a
145c951a28ad
153290b11086
hex1c67e2cc69

122002001001 has 12 divisors (see below), whose sum is σ = 180523286580. Its totient is φ = 79350894720.

The previous prime is 122002000997. The next prime is 122002001057. The reversal of 122002001001 is 100100200221.

It can be written as a sum of positive squares in 2 ways, for example, as 41901680601 + 80100320400 = 204699^2 + 283020^2 .

It is not a de Polignac number, because 122002001001 - 22 = 122002000997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (122002001071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165313996 + ... + 165314733.

It is an arithmetic number, because the mean of its divisors is an integer number (15043607215).

Almost surely, 2122002001001 is an apocalyptic number.

It is an amenable number.

122002001001 is a deficient number, since it is larger than the sum of its proper divisors (58521285579).

122002001001 is a wasteful number, since it uses less digits than its factorization.

122002001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330628776 (or 330628773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122002001001 its reverse (100100200221), we get a palindrome (222102201222).

The spelling of 122002001001 in words is "one hundred twenty-two billion, two million, one thousand, one".

Divisors: 1 3 9 41 123 369 330628729 991886187 2975658561 13555777889 40667333667 122002001001