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122420131200106 = 23119975123115717
BaseRepresentation
bin11011110101011100101000…
…011011101111110001101010
3121001110020202102121011212021
4123311130220123233301222
5112021212412041400411
61112211010515335054
734533363655026565
oct3365345033576152
9531406672534767
10122420131200106
11360090a4637a53
1211891a122b148a
135340226c22aac
14223324759b4dc
15e24666561a71
hex6f57286efc6a

122420131200106 has 64 divisors (see below), whose sum is σ = 190875879014400. Its totient is φ = 58823641800000.

The previous prime is 122420131200083. The next prime is 122420131200109. The reversal of 122420131200106 is 601002131024221.

It is a super-2 number, since 2×1224201312001062 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122420131200109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21413348760 + ... + 21413354476.

It is an arithmetic number, because the mean of its divisors is an integer number (2982435609600).

Almost surely, 2122420131200106 is an apocalyptic number.

122420131200106 is a deficient number, since it is larger than the sum of its proper divisors (68455747814294).

122420131200106 is a wasteful number, since it uses less digits than its factorization.

122420131200106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9011.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 122420131200106 its reverse (601002131024221), we get a palindrome (723422262224327).

The spelling of 122420131200106 in words is "one hundred twenty-two trillion, four hundred twenty billion, one hundred thirty-one million, two hundred thousand, one hundred six".

Divisors: 1 2 31 62 199 398 751 1502 2311 4622 5717 6169 11434 12338 23281 46562 71641 143282 149449 177227 298898 354454 459889 919778 1137683 1735561 2275366 3471122 4293467 4632919 8586934 9265838 13211987 14256559 26423974 28513118 35268173 53802391 70536346 107604782 133097477 266194954 345376639 409571597 690753278 819143194 854399933 1708799866 2629185413 5258370826 9922202237 10706675809 19844404474 21413351618 26486397923 52972795846 81504747803 163009495606 307588269347 615176538694 1974518245163 3949036490326 61210065600053 122420131200106