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121033132000 = 25531117435371
BaseRepresentation
bin111000010111000100…
…0110000011111100000
3102120102000012011011121
41300232020300133200
53440333440211000
6131334000022024
711513212435024
oct1605610603740
9376360164147
10121033132000
114736a058520
121b559901914
13b54b254c91
145c0263a384
153235a2db1a
hex1c2e2307e0

121033132000 has 768 divisors, whose sum is σ = 363159853056. Its totient is φ = 39137280000.

The previous prime is 121033131977. The next prime is 121033132007. The reversal of 121033132000 is 231330121.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121033132007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1704691965 + ... + 1704692035.

It is an arithmetic number, because the mean of its divisors is an integer number (472864392).

Almost surely, 2121033132000 is an apocalyptic number.

121033132000 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 121033132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181579926528).

121033132000 is an abundant number, since it is smaller than the sum of its proper divisors (242126721056).

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

121033132000 is a wasteful number, since it uses less digits than its factorization.

121033132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 121033132000 its reverse (231330121), we get a palindrome (121264462121).

The spelling of 121033132000 in words is "one hundred twenty-one billion, thirty-three million, one hundred thirty-two thousand".