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122504412410040 = 23351912723331267
BaseRepresentation
bin11011110110101011000111…
…111111000011000010111000
3121001202022022010120020211010
4123312223013333003002320
5112024103014034110130
61112313430010233520
734542436353345033
oct3366530777030270
9531668263506733
10122504412410040
1136040914138461
12118a6213a258a0
135348168cc860b
142237360b6c01a
15e2694a8020b0
hex6f6ac7fc30b8

122504412410040 has 192 divisors, whose sum is σ = 389926251907200. Its totient is φ = 30704785074432.

The previous prime is 122504412410033. The next prime is 122504412410063. The reversal of 122504412410040 is 40014214405221.

It is a super-2 number, since 2×1225044124100402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35108487 + ... + 38439753.

It is an arithmetic number, because the mean of its divisors is an integer number (2030865895350).

Almost surely, 2122504412410040 is an apocalyptic number.

122504412410040 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 122504412410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194963125953600).

122504412410040 is an abundant number, since it is smaller than the sum of its proper divisors (267421839497160).

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

122504412410040 is a wasteful number, since it uses less digits than its factorization.

122504412410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331554 (or 3331423 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 122504412410040 its reverse (40014214405221), we get a palindrome (162518626815261).

The spelling of 122504412410040 in words is "one hundred twenty-two trillion, five hundred four billion, four hundred twelve million, four hundred ten thousand, forty".