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34121213120 = 265106628791
BaseRepresentation
bin11111110001110010…
…000110010011000000
310021001222002012222002
4133301302012103000
51024340012304440
623401452003132
72315361345311
oct376162062300
9107058065862
1034121213120
111351a598495
1267431604a8
1332aa146947
141919912608
15d4a844115
hex7f1c864c0

34121213120 has 28 divisors (see below), whose sum is σ = 81251139504. Its totient is φ = 13648485120.

The previous prime is 34121213117. The next prime is 34121213123. The reversal of 34121213120 is 2131212143.

It is an interprime number because it is at equal distance from previous prime (34121213117) and next prime (34121213123).

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

It is a junction number, because it is equal to n+sod(n) for n = 34121213092 and 34121213101.

It is not an unprimeable number, because it can be changed into a prime (34121213123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53314076 + ... + 53314715.

Almost surely, 234121213120 is an apocalyptic number.

It is an amenable number.

34121213120 is an abundant number, since it is smaller than the sum of its proper divisors (47129926384).

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

34121213120 is a wasteful number, since it uses less digits than its factorization.

34121213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106628808 (or 106628798 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34121213120 its reverse (2131212143), we get a palindrome (36252425263).

The spelling of 34121213120 in words is "thirty-four billion, one hundred twenty-one million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 106628791 213257582 426515164 533143955 853030328 1066287910 1706060656 2132575820 3412121312 4265151640 6824242624 8530303280 17060606560 34121213120