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122330115003330 = 2325136711318477477
BaseRepresentation
bin11011110100001000110011…
…000011001101001111000010
3121001010122102001020120221100
4123310020303003031033002
5112013224033420101310
61112101402400035230
734524026201004243
oct3364106303151702
9531118361216840
10122330115003330
1135a83a01863aa3
1211878490002b16
1353348ac94c530
14222cb48484cca
15e22148a85ec0
hex6f42330cd3c2

122330115003330 has 384 divisors, whose sum is σ = 350949869157888. Its totient is φ = 29380246511616.

The previous prime is 122330115003277. The next prime is 122330115003353. The reversal of 122330115003330 is 33300511033221.

122330115003330 is a `hidden beast` number, since 1 + 2 + 23 + 301 + 1 + 5 + 0 + 0 + 3 + 330 = 666.

It is a super-2 number, since 2×1223301150033302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122330115003294 and 122330115003303.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16360851552 + ... + 16360859028.

It is an arithmetic number, because the mean of its divisors is an integer number (913931950932).

Almost surely, 2122330115003330 is an apocalyptic number.

122330115003330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 122330115003330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175474934578944).

122330115003330 is an abundant number, since it is smaller than the sum of its proper divisors (228619754154558).

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

122330115003330 is a wasteful number, since it uses less digits than its factorization.

122330115003330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9530 (or 9527 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

Adding to 122330115003330 its reverse (33300511033221), we get a palindrome (155630626036551).

The spelling of 122330115003330 in words is "one hundred twenty-two trillion, three hundred thirty billion, one hundred fifteen million, three thousand, three hundred thirty".