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122050050221 = 1125949934261
BaseRepresentation
bin111000110101010111…
…1111111100010101101
3102200000212200221201102
41301222233333202231
53444424303101341
6132022524052445
711550341211131
oct1615257774255
9380025627642
10122050050221
1147841087200
121b7a2394125
13b680b36938
145c9b70d3c1
153294e52c9b
hex1c6abff8ad

122050050221 has 24 divisors (see below), whose sum is σ = 136705380000. Its totient is φ = 108852242400.

The previous prime is 122050050217. The next prime is 122050050299.

It is a happy number.

122050050221 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 122050050221 - 22 = 122050050217 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122050050193 and 122050050202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122050050211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3545231 + ... + 3579491.

It is an arithmetic number, because the mean of its divisors is an integer number (5696057500).

Almost surely, 2122050050221 is an apocalyptic number.

122050050221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122050050221 is a deficient number, since it is larger than the sum of its proper divisors (14655329779).

122050050221 is a wasteful number, since it uses less digits than its factorization.

122050050221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34841 (or 34830 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

It can be divided in two parts, 1220500 and 50221, that added together give a palindrome (1270721).

The spelling of 122050050221 in words is "one hundred twenty-two billion, fifty million, fifty thousand, two hundred twenty-one".

Divisors: 1 11 59 121 499 649 5489 7139 29441 34261 60379 323851 376871 2021399 3562361 4145581 17096239 22235389 188058629 244589279 1008678101 2068644919 11095459111 122050050221