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122430434120 = 23516211888193
BaseRepresentation
bin111001000000101101…
…1000010101101001000
3102201000101110110022222
41302001123002231020
54001214142342440
6132124353033212
711562640343111
oct1620133025510
9381011413288
10122430434120
1147a16874265
121b889855808
13b71189a777
145cd6049208
1532b853e2b5
hex1c816c2b48

122430434120 has 32 divisors (see below), whose sum is σ = 275638560120. Its totient is φ = 48941936640.

The previous prime is 122430434111. The next prime is 122430434129. The reversal of 122430434120 is 21434034221.

It is an interprime number because it is at equal distance from previous prime (122430434111) and next prime (122430434129).

It can be written as a sum of positive squares in 4 ways, for example, as 118106319556 + 4324114564 = 343666^2 + 65758^2 .

It is a super-2 number, since 2×1224304341202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122430434120.

It is not an unprimeable number, because it can be changed into a prime (122430434129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 879257 + ... + 1008936.

Almost surely, 2122430434120 is an apocalyptic number.

122430434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122430434120 is an abundant number, since it is smaller than the sum of its proper divisors (153208126000).

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

122430434120 is a wasteful number, since it uses less digits than its factorization.

122430434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889825 (or 1889821 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 122430434120 its reverse (21434034221), we get a palindrome (143864468341).

The spelling of 122430434120 in words is "one hundred twenty-two billion, four hundred thirty million, four hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1621 3242 6484 8105 12968 16210 32420 64840 1888193 3776386 7552772 9440965 15105544 18881930 37763860 75527720 3060760853 6121521706 12243043412 15303804265 24486086824 30607608530 61215217060 122430434120