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122012240 = 2457239473
BaseRepresentation
bin1110100010111…
…00001001010000
322111120212022212
413101130021100
5222213342430
620035051252
73011041550
oct721341120
9274525285
10122012240
1162966669
1234a40b28
131c37cabc
14122c1160
15aaa1b95
hex745c250

122012240 has 80 divisors (see below), whose sum is σ = 338335488. Its totient is φ = 40009728.

The previous prime is 122012197. The next prime is 122012257. The reversal of 122012240 is 42210221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8144 + ... + 17616.

Almost surely, 2122012240 is an apocalyptic number.

122012240 is a gapful number since it is divisible by the number (10) 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 122012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169167744).

122012240 is an abundant number, since it is smaller than the sum of its proper divisors (216323248).

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

122012240 is a wasteful number, since it uses less digits than its factorization.

122012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9510 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 122012240 is about 11045.9150820564. The cubic root of 122012240 is about 495.9841522859.

Adding to 122012240 its reverse (42210221), we get a palindrome (164222461).

It can be divided in two parts, 12201 and 2240, that added together give a palindrome (14441).

The spelling of 122012240 in words is "one hundred twenty-two million, twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 9473 12880 18946 37892 47365 66311 75784 94730 132622 151568 189460 217879 265244 331555 378920 435758 530488 663110 757840 871516 1060976 1089395 1326220 1525153 1743032 2178790 2652440 3050306 3486064 4357580 5304880 6100612 7625765 8715160 12201224 15251530 17430320 24402448 30503060 61006120 122012240