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122020313136 = 24319941142183
BaseRepresentation
bin111000110100011111…
…0100011100000110000
3102122221210202011002220
41301220332203200300
53444344200010021
6132015542441040
711546530356111
oct1615076434060
9378853664086
10122020313136
11478263162a7
121b794433180
13b677924527
145c977ac208
15329252bcc6
hex1c68fa3830

122020313136 has 80 divisors (see below), whose sum is σ = 332164573440. Its totient is φ = 38491511040.

The previous prime is 122020313131. The next prime is 122020313141. The reversal of 122020313136 is 631313020221.

It is an interprime number because it is at equal distance from previous prime (122020313131) and next prime (122020313141).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (122020313131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 787101 + ... + 929283.

It is an arithmetic number, because the mean of its divisors is an integer number (4152057168).

Almost surely, 2122020313136 is an apocalyptic number.

122020313136 is a gapful number since it is divisible by the number (16) 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 122020313136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166082286720).

122020313136 is an abundant number, since it is smaller than the sum of its proper divisors (210144260304).

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

122020313136 is a wasteful number, since it uses less digits than its factorization.

122020313136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143154 (or 143148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 122020313136 its reverse (631313020221), we get a palindrome (753333333357).

The spelling of 122020313136 in words is "one hundred twenty-two billion, twenty million, three hundred thirteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 941 1882 2823 3764 5646 7528 11292 15056 17879 22584 35758 45168 53637 71516 107274 142183 143032 214548 284366 286064 426549 429096 568732 853098 858192 1137464 1706196 2274928 2701477 3412392 5402954 6824784 8104431 10805908 16208862 21611816 32417724 43223632 64835448 129670896 133794203 267588406 401382609 535176812 802765218 1070353624 1605530436 2140707248 2542089857 3211060872 5084179714 6422121744 7626269571 10168359428 15252539142 20336718856 30505078284 40673437712 61010156568 122020313136