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122011002202001 = 111394791115914929
BaseRepresentation
bin11011101111011111100110…
…011100011110011110010001
3121000000010201112012122201112
4123233133212130132132101
5111443012013030431001
61111255025225143105
734462001242646003
oct3357374634363621
9530003645178645
10122011002202001
1135970636a17220
121182667192aa95
1353107851a9a33
14221b514c04373
15e18bbd4a9cbb
hex6ef7e671e791

122011002202001 has 32 divisors (see below), whose sum is σ = 134361400320000. Its totient is φ = 109874007855360.

The previous prime is 122011002201929. The next prime is 122011002202003. The reversal of 122011002202001 is 100202200110221.

It is a cyclic number.

It is not a de Polignac number, because 122011002202001 - 214 = 122011002185617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122011002202003) 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, 8172743705 + ... + 8172758633.

It is an arithmetic number, because the mean of its divisors is an integer number (4198793760000).

Almost surely, 2122011002202001 is an apocalyptic number.

122011002202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122011002202001 is a deficient number, since it is larger than the sum of its proper divisors (12350398117999).

122011002202001 is a wasteful number, since it uses less digits than its factorization.

122011002202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26717.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122011002202001 its reverse (100202200110221), we get a palindrome (222213202312222).

The spelling of 122011002202001 in words is "one hundred twenty-two trillion, eleven billion, two million, two hundred two thousand, one".

Divisors: 1 11 139 479 1529 5269 11159 14929 66581 122749 164219 732391 1551101 2075131 5345161 7150991 17062111 22826441 58796771 78660901 166592711 742977379 993987749 1832519821 8172751169 10933865239 23156386829 79797908569 254720255119 877776994259 11091909291091 122011002202001