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201001211202000 = 2435311101241125117
BaseRepresentation
bin101101101100111100111101…
…110010110000100111010000
3222100200112021000010220211210
4231230330331302300213100
5202321200440031431000
61551254403124140120
760223600251155646
oct5554747562604720
9870615230126753
10201001211202000
11590551536a6230
121a66346ab37640
1388204434718a1
14378c720c75196
151838781d05350
hexb6cf3dcb09d0

201001211202000 has 640 divisors, whose sum is σ = 716907066011136. Its totient is φ = 48044544000000.

The previous prime is 201001211201993. The next prime is 201001211202013. The reversal of 201001211202000 is 202112100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 1606443442 + ... + 1606568558.

Almost surely, 2201001211202000 is an apocalyptic number.

201001211202000 is a gapful number since it is divisible by the number (20) 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 201001211202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358453533005568).

201001211202000 is an abundant number, since it is smaller than the sum of its proper divisors (515905854809136).

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

201001211202000 is a wasteful number, since it uses less digits than its factorization.

201001211202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125496 (or 125480 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201001211202000 its reverse (202112100102), we get a palindrome (201203323302102).

The spelling of 201001211202000 in words is "two hundred one trillion, one billion, two hundred eleven million, two hundred two thousand".