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122012202013 = 1361643239287
BaseRepresentation
bin111000110100001111…
…1100111010000011101
3102122221020111001201221
41301220133213100131
53444340110431023
6132015052533341
711546401414402
oct1615037472035
9378836431657
10122012202013
1147821786299
121b791781251
13b676044650
145c9669a2a9
15329197885d
hex1c687e741d

122012202013 has 16 divisors (see below), whose sum is σ = 133760077696. Its totient is φ = 110607560640.

The previous prime is 122012201999. The next prime is 122012202029. The reversal of 122012202013 is 310202210221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122012202013 - 29 = 122012201501 is a prime.

It is a super-3 number, since 3×1220122020133 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012202083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 390256 + ... + 629542.

It is an arithmetic number, because the mean of its divisors is an integer number (8360004856).

Almost surely, 2122012202013 is an apocalyptic number.

122012202013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

122012202013 is a deficient number, since it is larger than the sum of its proper divisors (11747875683).

122012202013 is a wasteful number, since it uses less digits than its factorization.

122012202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240004.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 122012202013 its reverse (310202210221), we get a palindrome (432214412234).

The spelling of 122012202013 in words is "one hundred twenty-two billion, twelve million, two hundred two thousand, thirteen".

Divisors: 1 13 61 643 793 8359 39223 239287 509899 3110731 14596507 153861541 189754591 2000200033 9385554001 122012202013