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122918136 = 23311467997
BaseRepresentation
bin1110101001110…
…01010011111000
322120021212222120
413110321103320
5222431340021
620110321240
73021533625
oct724712370
9276255876
10122918136
1163425240
12351b9220
131c609233
141247934c
15abd02c6
hex75394f8

122918136 has 64 divisors (see below), whose sum is σ = 336286080. Its totient is φ = 37130880.

The previous prime is 122918119. The next prime is 122918161. The reversal of 122918136 is 631819221.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 122918097 and 122918106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122790 + ... + 123786.

It is an arithmetic number, because the mean of its divisors is an integer number (5254470).

Almost surely, 2122918136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122918136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168143040).

122918136 is an abundant number, since it is smaller than the sum of its proper divisors (213367944).

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

122918136 is a wasteful number, since it uses less digits than its factorization.

122918136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 122918136 is about 11086.8451779575. The cubic root of 122918136 is about 497.2086268043.

The spelling of 122918136 in words is "one hundred twenty-two million, nine hundred eighteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 467 934 997 1401 1868 1994 2802 2991 3736 3988 5137 5604 5982 7976 10274 10967 11208 11964 15411 20548 21934 23928 30822 32901 41096 43868 61644 65802 87736 123288 131604 263208 465599 931198 1396797 1862396 2793594 3724792 5121589 5587188 10243178 11174376 15364767 20486356 30729534 40972712 61459068 122918136