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122112032040 = 23325339200089
BaseRepresentation
bin111000110111001110…
…0011011110100101000
3102200012012022221210100
41301232130123310220
54000041140011130
6132033020345400
711552023101135
oct1615634336450
9380165287710
10122112032040
1147873071049
121b7bb0a5260
13b69092897b
145ca5a4558c
15329a5e7c60
hex1c6e71bd28

122112032040 has 48 divisors (see below), whose sum is σ = 396864105300. Its totient is φ = 32563208448.

The previous prime is 122112032039. The next prime is 122112032041. The reversal of 122112032040 is 40230211221.

It is a happy number.

122112032040 is a `hidden beast` number, since 1 + 221 + 120 + 320 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (122112032039) and next prime (122112032041).

It can be written as a sum of positive squares in 2 ways, for example, as 121409039844 + 702992196 = 348438^2 + 26514^2 .

It is a super-2 number, since 2×1221120320402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122112032041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169599685 + ... + 169600404.

Almost surely, 2122112032040 is an apocalyptic number.

122112032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122112032040 is an abundant number, since it is smaller than the sum of its proper divisors (274752073260).

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

122112032040 is a wasteful number, since it uses less digits than its factorization.

122112032040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339200106 (or 339200099 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 122112032040 its reverse (40230211221), we get a palindrome (162342243261).

The spelling of 122112032040 in words is "one hundred twenty-two billion, one hundred twelve million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 339200089 678400178 1017600267 1356800356 1696000445 2035200534 2713600712 3052800801 3392000890 4070401068 5088001335 6105601602 6784001780 8140802136 10176002670 12211203204 13568003560 15264004005 20352005340 24422406408 30528008010 40704010680 61056016020 122112032040