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1202130332400 = 2435273117111719
BaseRepresentation
bin10001011111100100100…
…011010010101011110000
311020220220112022012122110
4101133210203102223300
5124143430331114100
62320130121005320
7152564624141454
oct21374443225360
94226815265573
101202130332400
11423903262388
12174b93023840
138948ba65c1a
144227d42c664
152140bc45250
hex117e48d2af0

1202130332400 has 240 divisors, whose sum is σ = 3907242103040. Its totient is φ = 315879782400.

The previous prime is 1202130332387. The next prime is 1202130332411. The reversal of 1202130332400 is 42330312021.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×12021303324002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102573741 + ... + 102585459.

Almost surely, 21202130332400 is an apocalyptic number.

1202130332400 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 1202130332400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1953621051520).

1202130332400 is an abundant number, since it is smaller than the sum of its proper divisors (2705111770640).

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

1202130332400 is a wasteful number, since it uses less digits than its factorization.

1202130332400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12984 (or 12973 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1202130332400 its reverse (42330312021), we get a palindrome (1244460644421).

The spelling of 1202130332400 in words is "one trillion, two hundred two billion, one hundred thirty million, three hundred thirty-two thousand, four hundred".