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121454161920 = 2123257132557
BaseRepresentation
bin111000100011100111…
…0110111000000000000
3102121111100102200122100
41301013032313000000
53442214231140140
6131443440110400
711526514225350
oct1610716670000
9377440380570
10121454161920
1147565787533
121b656905400
13b5b754a700
145c42516b60
15325c998530
hex1c473b7000

121454161920 has 936 divisors, whose sum is σ = 521923442976. Its totient is φ = 25579487232.

The previous prime is 121454161901. The next prime is 121454161931. The reversal of 121454161920 is 29161454121.

121454161920 is a `hidden beast` number, since 1 + 2 + 1 + 454 + 16 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×1214541619202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218050282 + ... + 218050838.

It is an arithmetic number, because the mean of its divisors is an integer number (557610516).

Almost surely, 2121454161920 is an apocalyptic number.

121454161920 is a gapful number since it is divisible by the number (10) 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 121454161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260961721488).

121454161920 is an abundant number, since it is smaller than the sum of its proper divisors (400469281056).

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

121454161920 is a wasteful number, since it uses less digits than its factorization.

121454161920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 121454161920 in words is "one hundred twenty-one billion, four hundred fifty-four million, one hundred sixty-one thousand, nine hundred twenty".