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122112100021200 = 243523713272072549
BaseRepresentation
bin11011110000111101110000…
…010110000011001111010000
3121000100210200012120222210120
4123300331300112003033100
5112001141040101134300
61111413305130230240
734502210450145402
oct3360756026031720
9530323605528716
10122112100021200
11359aa4a6008113
1211842187285380
13531a177285623
142222385996b72
15e1b638c993a0
hex6f0f705833d0

122112100021200 has 240 divisors, whose sum is σ = 402040743340800. Its totient is φ = 31659248424960.

The previous prime is 122112100021199. The next prime is 122112100021313. The reversal of 122112100021200 is 2120001211221.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1221121000212002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122112100021200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57882526 + ... + 59955074.

It is an arithmetic number, because the mean of its divisors is an integer number (1675169763920).

Almost surely, 2122112100021200 is an apocalyptic number.

122112100021200 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 122112100021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201020371670400).

122112100021200 is an abundant number, since it is smaller than the sum of its proper divisors (279928643319600).

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

122112100021200 is a wasteful number, since it uses less digits than its factorization.

122112100021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2073934 (or 2073923 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122112100021200 its reverse (2120001211221), we get a palindrome (124232101232421).

The spelling of 122112100021200 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred million, twenty-one thousand, two hundred".