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122121403404 = 2237111329477459
BaseRepresentation
bin111000110111100000…
…0001011110000001100
3102200012211222001212220
41301233000023300030
54000101034402104
6132033553255340
711552165541660
oct1615700136014
9380184861786
10122121403404
1147878391980
121b802264550
13b69285a360
145ca6da48a0
15329b3497d9
hex1c6f00bc0c

122121403404 has 384 divisors, whose sum is σ = 404257996800. Its totient is φ = 27665003520.

The previous prime is 122121403403. The next prime is 122121403409. The reversal of 122121403404 is 404304121221.

It is not an unprimeable number, because it can be changed into a prime (122121403403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16368627 + ... + 16376085.

It is an arithmetic number, because the mean of its divisors is an integer number (1052755200).

Almost surely, 2122121403404 is an apocalyptic number.

122121403404 is a gapful number since it is divisible by the number (14) 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 122121403404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202128998400).

122121403404 is an abundant number, since it is smaller than the sum of its proper divisors (282136593396).

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

122121403404 is a wasteful number, since it uses less digits than its factorization.

122121403404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7573 (or 7571 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 122121403404 its reverse (404304121221), we get a palindrome (526425524625).

It can be divided in two parts, 122121 and 403404, that added together give a palindrome (525525).

The spelling of 122121403404 in words is "one hundred twenty-two billion, one hundred twenty-one million, four hundred three thousand, four hundred four".