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122212496 = 24729191197
BaseRepresentation
bin1110100100011…
…01000010010000
322111222001000202
413102031002100
5222241244441
620043234332
73012534440
oct722150220
9274861022
10122212496
1162a9306a
1234b189a8
131c41ccb3
1412334120
15aae119b
hex748d090

122212496 has 80 divisors (see below), whose sum is σ = 282839040. Its totient is φ = 50050560.

The previous prime is 122212469. The next prime is 122212523. The reversal of 122212496 is 694212221.

It is an interprime number because it is at equal distance from previous prime (122212469) and next prime (122212523).

It is a Harshad number since it is a multiple of its sum of digits (29).

Its product of digits (3456) is a multiple of the sum of its prime factors (432).

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, 620270 + ... + 620466.

It is an arithmetic number, because the mean of its divisors is an integer number (3535488).

Almost surely, 2122212496 is an apocalyptic number.

122212496 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 122212496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141419520).

122212496 is an abundant number, since it is smaller than the sum of its proper divisors (160626544).

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

122212496 is a wasteful number, since it uses less digits than its factorization.

122212496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 122212496 is about 11054.9760741487. The cubic root of 122212496 is about 496.2553532533.

The spelling of 122212496 in words is "one hundred twenty-two million, two hundred twelve thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 191 197 203 232 382 394 406 464 764 788 812 1337 1379 1528 1576 1624 2674 2758 3056 3152 3248 5348 5516 5539 5713 10696 11032 11078 11426 21392 22064 22156 22852 37627 38773 39991 44312 45704 75254 77546 79982 88624 91408 150508 155092 159964 263389 301016 310184 319928 526778 602032 620368 639856 1053556 1091183 2107112 2182366 4214224 4364732 7638281 8729464 15276562 17458928 30553124 61106248 122212496