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122100012240 = 2435508750051
BaseRepresentation
bin111000110110110111…
…0100101010011010000
3102200011100201021201120
41301231232211103100
54000030100342430
6132031511002240
711551515660033
oct1615556452320
9380140637646
10122100012240
1147867301428
121b7b7069380
13b68b2aa96b
145ca41d701a
153299521610
hex1c6dba54d0

122100012240 has 40 divisors (see below), whose sum is σ = 378510038688. Its totient is φ = 32560003200.

The previous prime is 122100012217. The next prime is 122100012269. The reversal of 122100012240 is 42210001221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 254374786 + ... + 254375265.

Almost surely, 2122100012240 is an apocalyptic number.

122100012240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122100012240 is an abundant number, since it is smaller than the sum of its proper divisors (256410026448).

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

122100012240 is a wasteful number, since it uses less digits than its factorization.

122100012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508750067 (or 508750061 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 122100012240 its reverse (42210001221), we get a palindrome (164310013461).

The spelling of 122100012240 in words is "one hundred twenty-two billion, one hundred million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 508750051 1017500102 1526250153 2035000204 2543750255 3052500306 4070000408 5087500510 6105000612 7631250765 8140000816 10175001020 12210001224 15262501530 20350002040 24420002448 30525003060 40700004080 61050006120 122100012240