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121530157056 = 21133711172373
BaseRepresentation
bin111000100101111000…
…0110000100000000000
3102121200122102122101000
41301023300300200000
53442343210011211
6131455153012000
711531426201460
oct1611360604000
9377618378330
10121530157056
11475a4672830
121b678254000
13b5ca207c49
145c4c659ba0
1532644aa656
hex1c4bc30800

121530157056 has 1536 divisors, whose sum is σ = 502690406400. Its totient is φ = 28028436480.

The previous prime is 121530157013. The next prime is 121530157097. The reversal of 121530157056 is 650751035121.

It is a happy number.

121530157056 is a `hidden beast` number, since 1 + 2 + 1 + 5 + 30 + 1 + 570 + 56 = 666.

121530157056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a self number, because there is not a number n which added to its sum of digits gives 121530157056.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1664796636 + ... + 1664796708.

It is an arithmetic number, because the mean of its divisors is an integer number (327272400).

Almost surely, 2121530157056 is an apocalyptic number.

121530157056 is a gapful number since it is divisible by the number (16) 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 121530157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251345203200).

121530157056 is an abundant number, since it is smaller than the sum of its proper divisors (381160249344).

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

121530157056 is a wasteful number, since it uses less digits than its factorization.

121530157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 121530157056 in words is "one hundred twenty-one billion, five hundred thirty million, one hundred fifty-seven thousand, fifty-six".