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2120439212892 = 223271113292313761
BaseRepresentation
bin11110110110110100000…
…001101010101101011100
321111201020001110210021200
4132312310001222231130
5234220124414303032
64302041043155500
7306124313631360
oct36666401525534
97451201423250
102120439212892
11748300724070
122a2b56975b90
13124c5873c510
14748b62872a0
153a2567e047c
hex1edb406ab5c

2120439212892 has 1728 divisors, whose sum is σ = 8031267299328. Its totient is φ = 454616064000.

The previous prime is 2120439212873. The next prime is 2120439212897. The reversal of 2120439212892 is 2982129340212.

2120439212892 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 439 + 2 + 128 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120439212897) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34761298542 + ... + 34761298602.

Almost surely, 22120439212892 is an apocalyptic number.

2120439212892 is a gapful number since it is divisible by the number (22) 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 2120439212892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015633649664).

2120439212892 is an abundant number, since it is smaller than the sum of its proper divisors (5910828086436).

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

2120439212892 is a wasteful number, since it uses less digits than its factorization.

2120439212892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 2120439212892 in words is "two trillion, one hundred twenty billion, four hundred thirty-nine million, two hundred twelve thousand, eight hundred ninety-two".