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121491676152 = 2332711173197643
BaseRepresentation
bin111000100100101110…
…1111101101111111000
3102121120222000121111100
41301021131331233320
53442303332114102
6131451300131400
711530451131320
oct1611135755770
9377528017440
10121491676152
114758497a530
121b667396b60
13b5c2253992
145c474c0280
153260e08a1c
hex1c4977dbf8

121491676152 has 384 divisors, whose sum is σ = 415342287360. Its totient is φ = 31166069760.

The previous prime is 121491676151. The next prime is 121491676171. The reversal of 121491676152 is 251676194121.

121491676152 is a `hidden beast` number, since 1 + 2 + 1 + 491 + 6 + 7 + 6 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 121491676098 and 121491676107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121491676151) 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 95 ways as a sum of consecutive naturals, for example, 188944743 + ... + 188945385.

It is an arithmetic number, because the mean of its divisors is an integer number (1081620540).

Almost surely, 2121491676152 is an apocalyptic number.

121491676152 is a gapful number since it is divisible by the number (12) 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 121491676152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207671143680).

121491676152 is an abundant number, since it is smaller than the sum of its proper divisors (293850611208).

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

121491676152 is a wasteful number, since it uses less digits than its factorization.

121491676152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1036 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 121491676152 in words is "one hundred twenty-one billion, four hundred ninety-one million, six hundred seventy-six thousand, one hundred fifty-two".