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122315340 = 223571737463
BaseRepresentation
bin1110100101001…
…10001001001100
322112011021002210
413102212021030
5222303042330
620045350420
73013443330
oct722461114
9275137083
10122315340
1163053364
1234b68410
131c457a54
141235d7c0
15ab118b0
hex74a624c

122315340 has 192 divisors, whose sum is σ = 426553344. Its totient is φ = 25546752.

The previous prime is 122315339. The next prime is 122315371. The reversal of 122315340 is 43513221.

It is a super-2 number, since 2×1223153402 = 29922084798631200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263949 + ... + 264411.

It is an arithmetic number, because the mean of its divisors is an integer number (2221632).

Almost surely, 2122315340 is an apocalyptic number.

122315340 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 122315340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213276672).

122315340 is an abundant number, since it is smaller than the sum of its proper divisors (304238004).

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

122315340 is a wasteful number, since it uses less digits than its factorization.

122315340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 122315340 is about 11059.6265759744. The cubic root of 122315340 is about 496.3945168079.

Adding to 122315340 its reverse (43513221), we get a palindrome (165828561).

It can be divided in two parts, 12231 and 5340, that added together give a palindrome (17571).

The spelling of 122315340 in words is "one hundred twenty-two million, three hundred fifteen thousand, three hundred forty".