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122034404000 = 2553613311511
BaseRepresentation
bin111000110100111010…
…0010011101010100000
3102122222210021001010202
41301221310103222200
53444411301412000
6132021204444332
711550061214255
oct1615164235240
9378883231122
10122034404000
114783326aa43
121b7990a96a8
13b67a819112
145c995d942c
1532938b1dd5
hex1c69d13aa0

122034404000 has 192 divisors, whose sum is σ = 305876922624. Its totient is φ = 47836800000.

The previous prime is 122034403999. The next prime is 122034404027. The reversal of 122034404000 is 404430221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80763245 + ... + 80764755.

It is an arithmetic number, because the mean of its divisors is an integer number (1593108972).

Almost surely, 2122034404000 is an apocalyptic number.

122034404000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122034404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152938461312).

122034404000 is an abundant number, since it is smaller than the sum of its proper divisors (183842518624).

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

122034404000 is a wasteful number, since it uses less digits than its factorization.

122034404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 122034404000 its reverse (404430221), we get a palindrome (122438834221).

The spelling of 122034404000 in words is "one hundred twenty-two billion, thirty-four million, four hundred four thousand".