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122211392004 = 2233131722322961
BaseRepresentation
bin111000111010001011…
…1011101101000000100
3102200110010021222001000
41301310113131220010
54000242104021004
6132050530133300
711554340456262
oct1616427355004
9380403258030
10122211392004
1147914165719
121b828421230
13b6a83a7050
145cb4d0b432
1532a41c2c39
hex1c745dda04

122211392004 has 192 divisors, whose sum is σ = 362924513280. Its totient is φ = 35231293440.

The previous prime is 122211391969. The next prime is 122211392027. The reversal of 122211392004 is 400293112221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5311084 + ... + 5334044.

It is an arithmetic number, because the mean of its divisors is an integer number (1890231840).

Almost surely, 2122211392004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122211392004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181462256640).

122211392004 is an abundant number, since it is smaller than the sum of its proper divisors (240713121276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122211392004 is a wasteful number, since it uses less digits than its factorization.

122211392004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23227 (or 23219 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

It can be divided in two parts, 12221 and 1392004, that added together give a square (1404225 = 11852).

The spelling of 122211392004 in words is "one hundred twenty-two billion, two hundred eleven million, three hundred ninety-two thousand, four".