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122976132 = 2231931127137
BaseRepresentation
bin1110101010001…
…11011110000100
322120101211112120
413111013132010
5222440214012
620111445540
73022164666
oct725073604
9276354476
10122976132
1163464874
12352268b0
131c629756
1412492536
15abe258c
hex7547784

122976132 has 96 divisors (see below), whose sum is σ = 316538880. Its totient is φ = 37013760.

The previous prime is 122976109. The next prime is 122976137. The reversal of 122976132 is 231679221.

It is a junction number, because it is equal to n+sod(n) for n = 122976093 and 122976102.

It is not an unprimeable number, because it can be changed into a prime (122976137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897568 + ... + 897704.

It is an arithmetic number, because the mean of its divisors is an integer number (3297280).

Almost surely, 2122976132 is an apocalyptic number.

122976132 is a gapful number since it is divisible by the number (12) 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 122976132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158269440).

122976132 is an abundant number, since it is smaller than the sum of its proper divisors (193562748).

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

122976132 is a wasteful number, since it uses less digits than its factorization.

122976132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 319 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 122976132 is about 11089.4604016607. The cubic root of 122976132 is about 497.2868131985.

The spelling of 122976132 in words is "one hundred twenty-two million, nine hundred seventy-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 127 137 186 228 254 274 372 381 411 508 548 589 762 822 1178 1524 1644 1767 2356 2413 2603 3534 3937 4247 4826 5206 7068 7239 7809 7874 8494 9652 10412 11811 12741 14478 15618 15748 16988 17399 23622 25482 28956 31236 34798 47244 50964 52197 69596 74803 80693 104394 149606 161386 208788 224409 242079 299212 322772 330581 448818 484158 539369 661162 897636 968316 991743 1078738 1322324 1618107 1983486 2157476 3236214 3966972 6472428 10248011 20496022 30744033 40992044 61488066 122976132