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122001331201300 = 22521220013312013
BaseRepresentation
bin11011101111010110100110…
…000000100010010100010100
3120222222012202112111220210101
4123233112212000202110110
5111442332211241420200
61111250345434103444
734461206501543455
oct3357264600422424
9528865675456711
10122001331201300
1135967523993261
1211824812b7ab84
13530c8a3701a05
14221ac7864312c
15e1880443826a
hex6ef5a6022514

122001331201300 has 18 divisors (see below), whose sum is σ = 264742888707038. Its totient is φ = 48800532480480.

The previous prime is 122001331201297. The next prime is 122001331201319. The reversal of 122001331201300 is 3102133100221.

It can be written as a sum of positive squares in 3 ways, for example, as 21002770762884 + 100998560438416 = 4582878^2 + 10049804^2 .

It is a super-2 number, since 2×1220013312013002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 610006655907 + ... + 610006656106.

Almost surely, 2122001331201300 is an apocalyptic number.

122001331201300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122001331201300 is an abundant number, since it is smaller than the sum of its proper divisors (142741557505738).

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

122001331201300 is a wasteful number, since it uses less digits than its factorization.

122001331201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220013312027 (or 1220013312020 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 122001331201300 its reverse (3102133100221), we get a palindrome (125103464301521).

The spelling of 122001331201300 in words is "one hundred twenty-two trillion, one billion, three hundred thirty-one million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1220013312013 2440026624026 4880053248052 6100066560065 12200133120130 24400266240260 30500332800325 61000665600650 122001331201300