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121432064880 = 243571741103703
BaseRepresentation
bin111000100010111101…
…0100100001101110000
3102121102210212001012110
41301011322210031300
53442143102034010
6131441330325320
711526125343450
oct1610572441560
9377383761173
10121432064880
1147554264715
121b64b429840
13b5b2ab1939
145c3d603d60
15325aa81120
hex1c45ea4370

121432064880 has 320 divisors, whose sum is σ = 466638133248. Its totient is φ = 25485803520.

The previous prime is 121432064861. The next prime is 121432064891. The reversal of 121432064880 is 88460234121.

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 63 ways as a sum of consecutive naturals, for example, 1119109 + ... + 1222811.

Almost surely, 2121432064880 is an apocalyptic number.

121432064880 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 121432064880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233319066624).

121432064880 is an abundant number, since it is smaller than the sum of its proper divisors (345206068368).

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

121432064880 is a wasteful number, since it uses less digits than its factorization.

121432064880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103784 (or 103778 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

It can be divided in two parts, 1214320 and 64880, that added together give a triangular number (1279200 = T1599).

The spelling of 121432064880 in words is "one hundred twenty-one billion, four hundred thirty-two million, sixty-four thousand, eight hundred eighty".