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122145411040 = 2552692837951
BaseRepresentation
bin111000111000001101…
…1110000111111100000
3102200021112010210011121
41301300123300333200
54000123211123130
6132040212022024
711552606602042
oct1616033607740
9380245123147
10122145411040
114788a99a1a4
121b80a301914
13b697814963
145caa253a92
15329d4dcd7a
hex1c706f0fe0

122145411040 has 48 divisors (see below), whose sum is σ = 289641381120. Its totient is φ = 48676518400.

The previous prime is 122145411029. The next prime is 122145411053. The reversal of 122145411040 is 40114541221.

It is a junction number, because it is equal to n+sod(n) for n = 122145410996 and 122145411014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1375936 + ... + 1462015.

It is an arithmetic number, because the mean of its divisors is an integer number (6034195440).

Almost surely, 2122145411040 is an apocalyptic number.

122145411040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122145411040 is an abundant number, since it is smaller than the sum of its proper divisors (167495970080).

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

122145411040 is a wasteful number, since it uses less digits than its factorization.

122145411040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838235 (or 2838227 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 122145411040 its reverse (40114541221), we get a palindrome (162259952261).

The spelling of 122145411040 in words is "one hundred twenty-two billion, one hundred forty-five million, four hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269 538 1076 1345 2152 2690 4304 5380 8608 10760 21520 43040 2837951 5675902 11351804 14189755 22703608 28379510 45407216 56759020 90814432 113518040 227036080 454072160 763408819 1526817638 3053635276 3817044095 6107270552 7634088190 12214541104 15268176380 24429082208 30536352760 61072705520 122145411040