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120899319552 = 28371167293
BaseRepresentation
bin111000010011000101…
…0010011011100000000
3102120001200101210000000
41300212022103130000
53440100211211202
6131312420000000
711506666155204
oct1604612233400
9376050353000
10120899319552
1147300572220
121b520b30000
13b52960310b
145bcc966b04
153228dea91c
hex1c26293700

120899319552 has 576 divisors, whose sum is σ = 402098296320. Its totient is φ = 35966177280.

The previous prime is 120899319551. The next prime is 120899319553. The reversal of 120899319552 is 255913998021.

It is a happy number.

120899319552 is a `hidden beast` number, since 1 + 2 + 0 + 89 + 9 + 3 + 1 + 9 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (120899319551) and next prime (120899319553).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120899319551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 412625518 + ... + 412625810.

It is an arithmetic number, because the mean of its divisors is an integer number (698087320).

Almost surely, 2120899319552 is an apocalyptic number.

120899319552 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 120899319552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201049148160).

120899319552 is an abundant number, since it is smaller than the sum of its proper divisors (281198976768).

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

120899319552 is an frugal number, since it uses more digits than its factorization.

120899319552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 120899319552 in words is "one hundred twenty billion, eight hundred ninety-nine million, three hundred nineteen thousand, five hundred fifty-two".