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121551554040 = 233572157353373
BaseRepresentation
bin111000100110100001…
…0011000010111111000
3102121202010200201111220
41301031002120113320
53442414144212130
6131501235352040
711532106106400
oct1611502302770
9377663621456
10121551554040
1147605757694
121b683452620
13b60178a197
145c51429800
1532662d5410
hex1c4d0985f8

121551554040 has 384 divisors, whose sum is σ = 429249015360. Its totient is φ = 27454242816.

The previous prime is 121551554011. The next prime is 121551554083. The reversal of 121551554040 is 40455155121.

It is a happy number.

121551554040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 121551553992 and 121551554010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325875294 + ... + 325875666.

Almost surely, 2121551554040 is an apocalyptic number.

121551554040 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 121551554040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214624507680).

121551554040 is an abundant number, since it is smaller than the sum of its proper divisors (307697461320).

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

121551554040 is a wasteful number, since it uses less digits than its factorization.

121551554040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The spelling of 121551554040 in words is "one hundred twenty-one billion, five hundred fifty-one million, five hundred fifty-four thousand, forty".