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122234368000481 = 11191513873201559
BaseRepresentation
bin11011110010101111101000…
…000101011000000111100001
3121000210111021021100212222122
4123302233220011120013201
5112010141441202003411
61111545405441314025
734514066405626322
oct3362575005300741
9530714237325878
10122234368000481
1135a47339102680
1211861a0a635915
1353288612b3169
1422282641d4449
15e1e8e2de89db
hex6f2be81581e1

122234368000481 has 16 divisors (see below), whose sum is σ = 141294392908800. Its totient is φ = 104576442066000.

The previous prime is 122234368000471. The next prime is 122234368000487. The reversal of 122234368000481 is 184000863432221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-122234368000481 is a prime.

It is a super-2 number, since 2×1222343680004812 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122234368000487) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1936569221 + ... + 1936632338.

It is an arithmetic number, because the mean of its divisors is an integer number (8830899556800).

Almost surely, 2122234368000481 is an apocalyptic number.

122234368000481 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122234368000481 is a deficient number, since it is larger than the sum of its proper divisors (19060024908319).

122234368000481 is a wasteful number, since it uses less digits than its factorization.

122234368000481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873201740.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 122234368000481 in words is "one hundred twenty-two trillion, two hundred thirty-four billion, three hundred sixty-eight million, four hundred eighty-one", and thus it is an aban number.

Divisors: 1 11 19 151 209 1661 2869 31559 3873201559 42605217149 73590829621 584853435409 809499125831 6433387789499 11112215272771 122234368000481